818 research outputs found
Functional Analysis and Approximation Theory V, Proceedings of the 5th International Conference on Functional Analysis and Approximation Theory held in Acquafredda di Maratea (Potenza), June 16 – 23, 2004,
No full textDuring the week of September 16 - 23, 2004, the Fifth International Conference on Functional Analysis and Approximation Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings were held in 1989, 1992, 1996 and 2000 at the same place.
The Conference was organized by the Center for Studies on Functional Analysis and Approximation Theory of the University of Basilicata (Potenza), directed by Prof. Giuseppe Mastroianni, with the collaboration of the National Research Group “Operator Theory, Semigroups and Applications to Evolution Equations and Approximation Problems”(PRIN – COFIN 2003-2005), directed by Prof. Francesco Altomare.
Besides Francesco Altomare and Giuseppe Mastroianni, the organizing committee consisted also of Antonio Attalienti, Michele Campiti, Lorenzo D’Ambrosio, Sabrina Diomede, Donatella Occorsio and Maria Grazia Russo.
The scientific committee consisted of Francesco Altomare, Antonio Attalienti, Michele Campiti, Romulus Cristescu, Giuseppe Mastroianni, Ioan Raşa, József Szabados and Peter Vertesi,
The meeting was devoted to some significant aspects of contemporary mathematical research on Functional Analysis, Operator Theory and Approximation Theory including the applications of these fields in other areas such as partial differential equations, integral equations, numerical analysis and stochastic analysis.
A special session was dedicated to Professor Giuseppe Mastroianni on the occasion of his 65th birthday, as a fair token of gratitude for his contribution to mathematics and to the organization of all the Maratea conferences (1989 – 2004).
The Conference was attended by over 180 mathematicians coming from 25 countries. The scientific program consisted of 15 plenary lectures, 4 joint section talks and about 130 communications. Several thematic sessions were arranged.
Among the main topics treated therein we mention:
- Banach spaces, approximation in normed spaces.
- Function spaces and approximation problems.
- Linear operators on Banach spaces. Positive operators. Spectral theory.
- Semigroups of operators, Feller semigroups and partial differential equations. Maximal regularity. Stochastic analysis.
- Real functions and inequalities. Complex approximation.
- Approximation by polynomials. Best approximation.
- Approximation by positive operators. Rate of convergence.
- Orthogonal polynomials.
- Integral equations.
- Interpolation and quadrature formulas.
- Integral operators, integral transforms and Fourier integrals.
- Wavelets and signal processing.
- Numerical analysis and stability
In this volume we collect some invited lectures together with a selection of the papers corresponding to the research talks, which have been carefully refereed. Our thanks go to the referees for their collaboration as well as for their accurate work.
We gratefully acknowledge the financial support of the Institutions listed below:
• Department of Mathematics of the University of Basilicata (Potenza),
• Department of Mathematics of the University of Bari,
• Department of Economics of the University of Bari,
• Department of Mathematics of the University of Lecce,
• Faculty of Sciences of the University of Basilicata,
• University of Basilicata,
• University of Bari,
• National Group for Mathematical Analysis, Probability and their Applications (G.N.A.M.P.A.),
• Basilicata Region Administration,
• Basilicata Tourism Board.
We are particularly indebted to Mirella Cappelletti Montano, Carmela De Bonis, Vita Leonessa, Sabina Milella, Graziana Musceo and Gabriella Sabino, who assisted and helped us in organizing the Conference secretariat services. To all of them we express our special thanks.
We are also grateful to Biancamaria Della Vecchia for her friendly collaboration.
Finally we would like to thank Professor P. Vetro for accepting to publish the Proceedings of the Conference in a supplement of "Rendiconti del Circolo Matematico di Palermo".
May 2005
Francesco Altomare
On behalf of the Organizing Committe
Functional Analysis and Approximation Theory VI, Proceedings of the 6th International Conference on Functional Analysis and Approximation Theory held in Acquafredda di Maratea (Potenza), September 24 – 30, 2009
No full textFollowing a well-established tradition initiated on 1989, during the week of September 24-30, 2009, the Sixth International Conference on Functional Analysis and Approximation Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings were held in 1989, 1992, 1996, 2000 and 2004 at the same place.
The Conference was organized by the Center for Studies on Functional Analysis and Approximation Theory of the University of Basilicata (Potenza), directed by Prof. Giuseppe Mastroianni, with the collaboration of the Research Group “Real Analysis and Methods of Functional Analysis for Differential Problems and Approximation Problems” of the University of Bari, directed by Prof. Francesco Altomare.
Besides Francesco Altomare and Giuseppe Mastroianni, the organizing committee consisted also of Antonio Attalienti, Michele Campiti, Mirella Cappelletti Montano, Lorenzo D’Ambrosio, Maria Carmela De Bonis, Sabrina Diomede, Vita Leonessa, Donatella Occorsio and Maria Grazia Russo.
The meeting was devoted to some significant aspects of contemporary mathematical research on Functional Analysis, Operator Theory and Approximation Theory including the applications of these fields in other areas such as partial differential equations, integral equations and numerical analysis.
A special session was dedicated to Professor Giuseppe Mastroianni on the occasion of his 70th birthday, as a fair token of appreciation for his contribution to mathematics and to the organization of all the Maratea conferences (1989 – 2009).
The Conference was attended by over 150 mathematicians coming from more than 30 countries. The scientific program consisted of 14 plenary lectures and about 120 communications. Several thematic sessions were arranged.
Among the main topics treated therein we mention:
- Banach spaces, approximation in normed spaces.
- Fixed points theorems and best approximation.
- Banach lattices,
- Banach algebras, topological algebras and operator algebras.
- Function spaces.
- Linear and nonlinear operators on Banach spaces, positive operators, spectral theory
- Semigroups of operators, Feller semigroups and evolution equations.
- Ordinary and partial differential equations.
- Real functions and inequalities, complex approximation.
- Approximation by positive operators, approximation by nonlinear expressions, rate of convergence.
- Polynomial approximation, rational approximation.
- Interpolation and quadrature formulas.
- Orthogonal polynomials, special functions.
- Integral equations.
- Integral operators, integral transforms and Fourier analysis.
- Integral inequalities.
- Numerical analysis.
In this volume we collect some invited lectures together with a selection of the papers corresponding to the research talks, which have been carefully refereed. Our thanks go to the referees for their collaboration as well as for their accurate work.
We gratefully acknowledge the financial support of the Institutions listed below:
• the University of Basilicata,
• the University of Bari,
• the Faculty of Sciences of the University of Basilicata,
• the Department of Mathematics and Computer Science of the University of Basilicata (Potenza),
• the Department of Mathematics of the University of Bari,
• the Department of Economic Sciences and Mathematical Methods of the University of Bari,
• the Department of Mathematics of the University of Salento,
• the National Group for Mathematical Analysis, Probability and their Applications (IndAM - G.N.A.M.P.A.),
• The Research Group “Partial Differential Equations and Mathematical Finance”, University of Bari,
• the Basilicata Tourism Board.
We are particularly indebted to Sabina Milella and Graziana Musceo as well as to several other Ph.D and Post-Doc students who assisted and helped us in organizing the Conference secretariat services. To all of them we express our special thanks.
We are also grateful to Biancamaria Della Vecchia for her friendly collaboration.
Finally we would like to thank Professor P. Vetro for accepting to publish the Proceedings of the Conference in a supplement of "Rendiconti del Circolo Matematico di Palermo".
May 2010
Francesco Altomare
On behalf of the Organizing Committe
18th Congress of Unione Matematica Italiana (Bari, September 24 – 29, 2007),
No full textLa cerimonia inaugurale del XVIII Congresso Nazionale dell’Unione Matematica Italiana ha avuto luogo lunedì 24 settembre 2007 presso l’Aula Magna del Politecnico di Bari, Campus Universitario.
Sono intervenuti, nell’ordine, il Magnifico Rettore del Politecnicodi Bari, Salvatore Marzano, il Magnifico Rettore dell’Università degli Studi di Bari, Corrado Petrocelli, il Presidente dell’Istituto Nazionale di Alta Matematica (INdAM), Vincenzo Ancona, il Presidente della Conferenza dei Rettori delle Università Italiane (CRUI), Guido Trombetti, il Presidente della Giunta Regionale Pugliese, Nichi Vendola, il Dr. Marco Bronzini in rappresentanza del Sindaco del Comune di Bari, il Presidente del Gruppo di Lavoro Interministeriale per lo Sviluppo della Cultura Scientifica e Tecnologica, Luigi Berlinguer, il Sottosegretario al Ministero dell’Università e della Ricerca, Luciano Modica.
La cerimonia, coordinata da Michele Pertichino, si è aperta con i discorsi del Presidente del Comitato Organizzatore, Francesco Altomare, e del Presidente dell’UMI, Franco Brezzi. Si sono poi succeduti gli interventi dei Presidenti dell’AILA (Associazione Italiana di Logica ed Applicazioni), Carlo Toffalori, dell’AIRO (Associazione Italiana di Ricerca Operativa), Renato De Leone, dell’AMASES (Associazione Matematica Applicata alle Scienze Economiche e Sociali), Flavio Pressacco il cui saluto è stato letto da Lucia Maddalena, della MATHESIS (Società Italiana di Scienze Matematiche e Fisiche), Antonio Laforgia, e della SIMAI (Società Italiana di Matematica Applicata ed Industriale), Mario Primicerio.
La seduta inaugurale si è conclusa con la consegna dei Premi Bartolozzi, Caccioppoli, Fichera e Vinti a valenti matematici italiani che si sono contraddistinti in ambito internazionale per le loro ricerche in vari settori della Matematica
Functional Analysis and Approximation Theory III, Proceedings of the 3rd International Conference on Functional Analysis and Approximation Theory held in Acquafredda di Maratea (Potenza), September 23 - 28, 1996
No full textDuring the week of September 23 - 28, 1996, the Third
International Conference on Functional Analysis and Approximation
Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings
were held on 1989 and 1992 at the same place.
The Conference was organized by the Center for Studies on
Functional Analysis and Approximation Theory of the University of
Basilicata (Potenza), which is directed by Prof. G. Mastroianni, with
the collaboration of the Departments of Mathematics of the Universities
of Basilicata and Bari and the Institute for Applications of
Mathematics (C.N.R.) of Napoli.
The executive organizing committee was made, other than by
Giuseppe Mastroianni, also by Francesco Altomare, Michele Campiti,
Giuliana Criscuolo and Bianca Maria Della Vecchia.
The main aim of the Conference was to promote interactions
between specialists and young researchers from functional analysis and
approximation theory as well as to renew some stimuli in solving
various open problems arising from these fields and in showing
applications to other fields of Mathematics which are closer to the
applied sciences.
The Conference was attended by over 190 mathematicians from 27
countries. The programme included 13 invited lectures and over 140
research talks.
The main topics that were treated include
- Banach spaces, Banach algebras, Fr‚chet spaces, approximation in
normed spaces.
- Function spaces and approximation problems.
- Linear operators on Banach spaces, ergodic theory, positive operators
- Semigroups of operators, Feller semigroups, partial differential
equations.
- Real functions and inequalities. Complex approximation.
- Approximation by positive operators. Rate of convergence.
- Orthogonal polynomials.
- Integral equations.
- Interpolation and quadrature formulas.
- Integral transforms and Fourier series.
- Wawelets.
- Numerical analysis and boundary element methods.
In this volume we collected some invited lectures together with
a selection of the papers corresponding to the research talks and which
have been properly refereed. Our thanks go to the referees for their
collaboration as well as their accurate work.
We gratefully acknowledge the financial support by
- Universit... della Basilicata.
- Consiglio Nazionale delle Ricerche - Comitato per la Matematica.
- Dipartimento di Matematica dell'Universit... della Basilicata.
- Dipartimento di Matematica dell'Universit... di Bari.
- Gruppo di ricerca "Analisi Funzionale" - M.U.R.S.T. 40 %
- Istituto per Applicazioni della Matematica (C.N.R.) di Napoli.
- Azienda Autonoma Soggiorno e Turismo - Maratea.
We are particularly indebted to Ingrid Carbone, Maria Carmela De
Bonis, Italia De Feis, Sabrina Diomede, Nicola Mastronardi, Donatella
Occorsio, Marco Romito, Maria Grazia Russo and Woula Themistoclakis,
who assisted and helped us to operate the Conference secretariat. To
all of them we express our special thanks.
Finally we would like to thank Professor P. Vetro and the
Editorial Board of the Journal "Rendiconti del Circolo Matematico di
Palermo" for accepting to publish the Proceedings of the Conference in
two supplements of the same Journal.
December 1997 The Organizing Committe
Functional Analysis and Approximation Theory IV, Proceedings of the 4th International Conference on Functional Analysis and Approximation Theory held in Acquafredda di Maratea (Potenza), September 22 - 28, 2000
No full textDuring the week of September 22 - 28, 2000, the Fourth International Conference on Functional Analysis and Approximation Theory was held at Acquafredda di Maratea (Potenza). Earlier meetings were held in 1989, 1992 and 1996 at the same location.
The Conference was organized by the Center for Studies on Functional Analysis and Approximation Theory of the University of Basilicata (Potenza), which is directed by Prof. Giuseppe Mastroianni, with the collaboration of the Department of Mathematics of the University of Basilicata and the Department of Mathematics of the University and the Polytechnic of Bari.
Besides Giuseppe Mastroianni, the executive organizing committee consisted also of Francesco Altomare, Antonio Attalienti, Michele Campiti, Bianca Maria Della Vecchia and Mario Rosario Occorsio.
The main aim of the Conference was to promote interactions between specialists and young researchers in Functional Analysis and Approximation Theory as well as to renew some stimulations in solving several related open problems and in showing applications to other fields of Mathematics closer to the applied sciences.
The Conference was attended by over 160 mathematicians coming from 22 countries. The programme included 15 invited lectures and over 100 research talks.
Among the main topics treated therein we mention:
- Banach spaces, Banach algebras, Fréchet spaces, approximation in normed spaces. Best approximation.
- Function spaces and approximation problems.
- Linear operators on Banach spaces, spectral theory, ergodic theory, positive operators, algebraic systems of operators.
- Groups and semigroups of operators, Feller semigroups, evolution equations.
- Real functions and inequalities. Complex approximation.
- Approximation by positive operators. Rate of convergence.
- Orthogonal polynomials and Padé approximation.
- Integral equations.
- Interpolation and quadrature formulas.
- Integral transforms and Fourier series.
- Wawelets and digital information processing.
- Numerical analysis and stability methods.
In this volume we collect some invited lectures together with a selection of the papers corresponding to the research talks, which have been carefully refereed. Our thanks go to the referees for their collaboration as well as for their accurate work.
We gratefully acknowledge the financial support of the Institutions listed below:
- Directorate General for Cultural Promotion and Cooperation for the Ministry of Foreign Affairs
- National Group for Mathematical Analysis, Probability and their Applications (G.N.A.M.P.A.)
- National Project on Functional Analysis (M.U.R.S.T.)
- University of Basilicata
- University of Bari
- Polytechnic of Bari
- Department of Mathematics of the University of Basilicata
- Department of Mathematics of the University and of the Polytechnic of Bari
- Basilicata Tourism Board.
We are particularly indebted to Giuseppe Colacicco and Lorenzo D’Ambrosio who assisted and helped us in organizing the Conference secretariat services. To both of them we express our special thanks.
Finally we would like to thank Professor P. Vetro and the Editorial Board of the Journal "Rendiconti del Circolo Matematico di Palermo" for accepting to publish the Proceedings of the Conference in two supplements of the same Journal.
December 2001
THE ORGANIZING COMMITTE
On Bernstein-Schnabl operators on the unit interval
No full textBernstein-Schnabl operators were first introduced by
R. Schnabl in 1968 in the context
of sets of probability Radon measures on compact Hausdorff spaces.
Subsequently Grossman proposed a general method
of constructing Bernstein-Schnabl operators on an arbitrary convex
compact subset of a locally convex space and he showed that they
are an approximation process for continuous functions.
A particular class of these operators has been also studied by the
F. Altomare and,
subsequently, by several other authors. Their construction
essentially involves positive projections and they satisfy many additional
properties useful for the study of evolution problems.
In this paper we deep the study of the Bernstein-Schnabl
operators associated with a general continuous selection of
probability Borel measures on the interval [0,1], which not
necessarily arise from a positive projection. These operators seem
to have some interest because they furnish new general
approximation processes for continuous functions and they also
approximate the solutions of the initial-boundary problems
associated with a class of degenerate diffusion equations.
In the first section we recall their definition and discuss some
examples of them. After that, we investigate their approximation
properties and show several estimates of the rate of convergence
by means of suitable moduli of smoothness.
Shape preserving properties are discussed in Section 2.
In particular, we investigate some conditions under which these
operators preserve the convexity.
In the third section we show that suitable iterates of
Bernstein-Schnabl operators converge to a Markov semigroup on
C([0,1]) whose generator is a degenerate differential
operator of the form Au(x):=\alpha(x) u''(x) (x \in [0,1]
defined on a suitable subspace of smoot functions satisfying the so-called Wentcel boundary conditions.
By means of Bernstein-Schnabl operators we establish some
qualitative properties of this semigroup and, in particular, its
asymptotic behaviour.
In the same section we also study the generation properties of
general differential operators and
determine suitable continuous selections of Borel measures such
that the iterates of the corresponding Bernstein-Schnabl operators
converge to the given Markov semigroup
Francesco Altomare - the remarkable mathematician and human being
No full textWe laconically describe the great contributions of Professor Francesco Altomare to mathematical research and PhD education, and his unique status in the mathematical community. In particular, we present and give examples of his innovative and great achievements related to the following areas of mathematics: Functional Analysis, Operator Theory, Potential Theory, Approximation Theory, Probability Theory, Function Spaces, Choquet's Theory, Dirichlet's Problem and Semigroup Theory. Moreover, we report on and give concrete examples of his unique way to work together with PhD students, both before and sometimes also after their dissertation. Finally, we shortly describe his remarkable “class travel” from “simple” conditions with no academic traditions in his family in the small hometown Giovinazzo to finally become the broad, ingenious, and powerful mathematician he is regarded to be today
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