182,675 research outputs found
Effects of dopamine infusion on forearm blood flow in critical patients.
No full textPiazza O, Zito G, Valente A, Tufano R.
Effects of dopamine infusion on forearm blood flow in critical patients.
Med Sci Monit. 2006 Feb;12(2):CR90-3. Epub 2006 Jan 26
MR2741185 Talvila, Erik The regulated primitive integral. Illinois J. Math. 53 (2009), no. 4, 1187–1219. (Reviewer: Luisa Di Piazza) 46G12 (26A39 46E15 46F10)
No full textTalvila Erik, The regulated primitive integral. Illinois J. Math. 53 (2009), no. 4, 1187–1219, 46Gxx (26A39 46Exx) MR 2 741 185
A descriptive definition of an integral is a definition which provides a ``description'' of the space of primitives. The derivatives in some sense of the primitives are the integrands.
In this paper the author introduces a descriptive method of integrating distributions: the regulated primitive integral.
The set \textbf{B}_R= \{F: [-\infty,\infty]
\rightarrow {\bf R}
\ \ | \mbox{ F {\it is regulated and left continuous on }}\\
\ \ {\bf R},
\ \ F(-\infty)=0, \ \ F(\infty)\in {\bf R}\} is the family of primitives.
The derivative here is in the sense of the distributions (i.e. a distributional or weak derivative). Then the integrable distributions are those distributions (in the Schwartz's sense) that are the distributional derivative of a function in .
The regulated primitive integral is a proper extension of the integral of distribution defined by L. Schwartz [Théorie des distributions. (French) Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Hermann, Paris 1966 xiii+420, 46.40 (44.00), MR0209834 (35730)]. Moreover it is proved that the space of regulated integrable distributions is the completion of the space of signed Radon measures in the Alexiewicz norm, but it is not the completion in this norm of the Henstock-Kurzweil integrable functions. The functions of bounded variation constitute its dual space and also the space of multipliers. In the introduction a wide
panorama of descriptive and constructive integration methods is given.
Reviewed by (L. Di Piazza
Metal Displacement Deposition: a facile via to grow metal and metal oxide nanostructures
No full textNanostructured materials have received increasing attention because of their high chemical reactivity that allows an extensive use in many fields, like catalysis, electrosynthesis, sensors, and so on [1]. Taking into account that size plays a fundamental role for the properties of nanostructures, it is of relevant importance for their applications to develop a facile method of synthesis. In our previous works, we have described a template synthesis of metal nanowires through a simple novel route [2-4]. In particular, using a combination of template deposition and metal displacement reaction, we have fabricated pure metal nanowires with a well-defined morphology. This type of template synthesis is based on the galvanic contact between a sputtered metal film, covering the bottom of the template, and a less noble metal, partially exposed to the solution. This kind of deposition can be carried out at room temperature without using energy or specific equipments. Consequently, the present route for the preparation of metal nanowires is cheap and simple, and it can also be applied to the synthesis of other metallic nanostructures.
Recently, we have successfully extended this technique to the fabrication of large arrays of free-standing oxide nanostructures. We will show that displacement reaction leads to the growth of nanotubes and nanowires of either amorphous or nanocrystalline oxides of different metals. A full characterization was performed by means of several techniques (EDS, SEM, RAMAN, XRD) both to study chemical composition and get structural information.
References
1 L. Zhang, X. Fang, C. Ye, Controlled Growth of Nanomaterials, World Scientific, Hackensack, NJ, 2007.
2 R. Inguanta, S. Piazza, C. Sunseri, It. Pat. VI-2007-A000275, 2007.
3 R. Inguanta, S. Piazza, C. Sunseri, Electrochem. Commun. 10 (2008) 506.
4 R. Inguanta, S. Piazza, C. Sunseri, Electrochem. Commun. 11 (2009) 1385
MR2569913: Rodríguez, José. Some examples in vector integration. Bull. Aust. Math. Soc. 80 (2009), no. 3, 384–392. (Reviewer: Luisa Di Piazza),
No full textThe paper deals with some classical examples in vector integration due to Phillips, Hagler and Talagrand, revisited from the point of view of the Birkhoff and McShane integrals. More precisely, the author considers:
- Phillips' example of a Pettis integrable function f which is not Birkhoff integrable [R. S. Phillips, Trans. Amer. Math. Soc. 47 (1940), 114--145; MR0002707 (2,103c)]. It is proved here that f is universally McShane integrable.
- Hagler's example of a scalarly measurable l∞-valued function g which is not strongly measurable. The function g is proved to be universally Birkhoff integrable.
- Talagrand's example of a bounded Pettis integrable function φ having no conditional expectation [M. Talagrand, Mem. Amer. Math. Soc. 51 (1984), no. 307, ix+224 pp.; MR0756174 (86j:46042)]. Here the author shows that φ is also Birkhoff integrable, giving a negative answer to the question whether conditional expectations exist within the Birkhoff theory.
Some interesting open problems are also stated.
Reviewed by Luisa Di Piazz
Variational measures in the theory of integration
No full text{Variational measures in the theory of integration}
{Luisa Di Piazza}
{Palermo , Italy}
We will present here some results concerning the variational measures associated to a real valued function, or, in a more general setting, to a vector valued function. Roughly speaking, given a function defined on an interval of the real line it is possible to construct, using suitable families of intervals, a measure which carries information about . If is a real valued function, then the -finiteness of the measure implies the a.e. differentiability of , while the absolute continuity of the measure characterizes the functions which are Henstock-Kurzweil primitives. The situation becomes more complicate if we consider functions taking values in an infinite dimensional Banach space. If the Banach space has the Radon-Nikod\'{y}m property, then it is possible to obtain properties similar to those of the real case. But it is surprising that by means of the variational measures it is possible to characterize the Banach space having the Radon-Nikod\'{y}m property.
\begin{thebibliography}{99}
\bibitem{bds1} B. Bongiorno, L. Di Piazza and V. Skvortsov,
\textit{ A new full descriptive characterization of Denjoy-Perron
integral}, Real Analysis Exchange, {\bf 21} (1995/96), 256--263.
\bibitem{bdm} B. Bongiorno, L. Di Piazza and K. Musial,
\textit{ A characterization of the
Radon-Nikod\'{y}m property by finitely additive interval
functions}, Illinois Journal of Mathematics. Volume 53, Number 1 (2009), 87-99.
\bibitem{db} D. Bongiorno, \textit{ Stepanoff's theorem in separable Banach
spaces}, Comment. Math. Univ. Ca\-ro\-linae, {\bf 39} (1998),
323--335.
\bibitem{ldp1} L. Di Piazza, \textit{ Varational measures in the theory of the
integration in }, Czechos. Math. Jour. 51(126) (2001), no. 1,
95--110.
\bibitem{vm} V. Marraffa, \textit{
A descriptive characterization of the
variational Henstock integral}, Proceedings of the International
Mathematics Conference (Manila, 1998), Matimy\'{a}s Mat. {\bf 22}
(1999), no. 2, 73--84
Feder Piazza Anna Maria
No full textFeder Piazza Anna Maria: biografia e impegno educativo nell'ambito dell'Associazione Guide Italiane (AGI)
The effects of hydroxyethyl starch solution in critically ill patients.
No full textPalumbo D, Servillo G, D'Amato L, Volpe ML, Capogrosso G, De Robertis E,
Piazza O, Tufano R.
The effects of hydroxyethyl starch solution in critically ill patients.
Minerva Anestesiol. 2006 Jul-Aug;72(7-8):655-6
Modelling of the Phyisico-Chemical Properties of HCFCs whith WHIM Molecular Descriptors: Rate Constant of the Reaction of OH Radical with Hydrohaloalkanes
No full textIl cantiere nel Settecento
No full textIl contributo analizza e approfondisce la vicenda progettuale e costruttiva relativa ai differenti interventi settecenteschi della chiesa di San Domenico a Palermo(l'attribuzione del progetto della facciata e il suo completamento,i progetti per i campanili, per la piazza dell'Immacolata, e per gli altari interni),fornendo chiarimenti rispetto agli studi precedenti, specificando la corretta cronologia e i progettisti, oltre che le dinamiche di cantiere e i riferimenti formali e relazionando questi ultimi alla coeva produzione italiana ed europea
MR2684422 Deville, Robert; Rodríguez, José Integration in Hilbert generated Banach spaces. Israel J. Math. 177 (2010), 285–306. (Reviewer: Luisa Di Piazza)
No full text2010), 285–306, 46Exx (46J10)
It is known that each McShane integrable function is also Pettis integrable, while the reverse implication in general is not true.
The equivalence of McShane and Pettis integrability depends on
the target Banach space X and has been proven: by R. A. Gordon [Illinois J. Math. 34 (1990), no. 3, 557–567, 26A42 (28B15 46G10 49Q15)], and by D. H. Fremlin and J. Mendoza [Illinois J. Math. 38 (1994), no. 1, 127–147, 46G10 (28B05)] if X is separable, by D. Preiss and the reviewer [Illinois J. Math. 47 (2003), no. 4, 1177–1187. 28B05 (26A39 26E25 46G10)] if X=c_0(\Gamma) (for any set
\Gamma) or X is super-reflexive, by the second author of the present paper [J. Math. Anal. Appl. 341 (2008), no. 1, 80–90, 46G10 (28B05 46B99 47B10)] if X=L^1(\nu) (for any probability measure
\nu).
Here the authors show that the McShane and Pettis integrability coincide for functions taking values in a subspace of a Hilbert generated Banach space. This result includes all previous known ones concerning the above mentioned equivalence.
The used approach relies heavily on some special properties of the Markushevich bases of those Banach spaces. They also give a ZFC example of a scalarly negligible function which is not McShane integrable.
Moreover they prove that, whenever the target Banach space is super-reflexive generated, the Birkhoff integrability lies strictly between Bochner and McShane integrability. Reviewed by L. Di Piazz
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