81,554 research outputs found
Letter from F. A. Browder to Alden Partridge, 31 October 1826
No full textF. A. Browder writes from Salisbury Hall, near Pinckneyville, Mississippi, to Alden Partridge in Middletown, Connecticut; please allow his sons, B. M. Browder and J. J. Browder, to accompany Partridge on the trip to Washington in December 1826.Transcription by Raymond Bouchard. Transcriptions may be subject to error
Letter from F. A. Browder to Alden Partridge, 30 May 1826.
No full textIs pleased with the progress of his sons (B. M. Browder and John J. Browder)
Letter from F. A. Browder to Alden Partridge, 26 January 1826.
No full textPleased with the progress of his sons, B. M. Browder and J. J. Browder.Transcription by Joseph Byrne. Transcriptions may be subject to human error
Letter From F. A. Browder to Alden Partridge, 7 March 1826
No full textRegarding the expenses of his sons, B. M. Browder and J. J. Browder.Transcription by Raymond Bouchard. Transcriptions may be subject to error
On iterated Browder-Livesay invariants
No full textThe Browder-Livesay invariants provide obstructions to the realization of elements of Wall groups by normal maps of closed manifolds. A generalization of the iterated Browder-Livesay invariants is proposed and properties of the invariants obtained are described. The generalized definition makes it possible to investigate the relationship between a normal map and its restriction to a submanifold and clarifies the relationship between the Browder-Livesay invariants and the Browder-Quinn groups of obstructions to surgery on filtered manifolds. Several theorems describing a relationship between a normal map and its restriction to a submanifold are proved
The upper browder spectrum in commutatively ordered banach algebras
Get PDFThesisA commutatively ordered Banach algebra (COBA) is a complex unital Banach
algebra A containing a subset C, called an algebra c-cone, such that C contains
the unit of A and is closed under addition, positive scalar multiplication and
multiplication by commuting positive elements. If the commutativity assumption
is removed, then the resulting cone is called an algebra cone. A Banach algebra
ordered by an algebra cone is called an ordered Banach algebra (OBA): Evidently,
every OBA is a COBA:
Not every COBA is however an OBA: An example con rming this statement is
given by the COBA (B(H);C); where B(H) is the space of all bounded linear
operators on a Hilbert space H and
C = fT 2 B(H) : hTx; xi 2 R+ for all x 2 Hg:
Benjamin and Mouton described Fredholm theory in OBAs relative to a homo-
morphism T : A ! B; where A and B are Banach algebras, and introduced an
element called an upper Browder element. An upper Browder element x 2 A is
an element of the form y + z; where y is invertible in A and z 2 C is an element
of the null space of T such that yz = zy: We denote by B+
T the set of all upper
Browder elements of A; which in turn gives (in a natural way) rise to the upper
Browder spectrum
+
T (x) := f 2 C : e �� x is not an upper Browder elementg:
In an OBA setting, Benjamin examined the following natural question: given
that the spectral radius of a positive element is not in the Fredholm spectrum of
the element, when will it be outside the upper Browder spectrum of that element?
The element satisfying this condition is said to have the upper Browder spectrum
property (see De nition 5.1.1). They went on to show that the connected hulls of
the upper Browder and the Browder spectra do not coincide in general, as well
as the conditions under which the upper Browder spectrum satisfy the spectral
mapping theorem.
In this study we extend these results to COBAs. Since every OBA is a COBA;
it is actually concluded that some results on upper Browder spectrum of an OBA
element readily extend to COBAs:
For further research, we recommend that the COBAs; rather than the OBAs;
should be the default setting for studying Fredholm theory
[Photograph of Man in Field]
No full textPhotograph of a man standing in field in front of large tree, on back "Shaw Studio, Denton" taken and collected by H.F. Browder, former County Agent, Denton County. It is possibly a photo of the Strickland Cemetery
An Application of the Browder-Minty Theorem in a Problem of Partial Differential Equations
Get PDFIn this work, we will show existence of weak solution for a semilinear elliptic problem using as main tool the Browder-Minty Theorem. First, we will make a brief introduction about basic theory of the Sobolev Spaces to support our study and provide sufficient tools for the development of our work. Then we will take a quick approach on the Browder-Minty Theorem and use this result to show the existence of at least one weak solution to an elliptic Partial Differential Equations (PDE) problem whose nonlinearity, denoted by f, is a known function. For this, in addition to the already mentioned results, we will also use as study tools: Embedding Sobolev Theorems, Linear Continuous Operators Theory, Poincaré Inequality and Hölder Inequality.Neste trabalho, mostraremos a existência de uma solução fraca para um problema elítptico semilinear utilizando como ferramenta principal o Teorema de Browder-Minty. Primeiro, faremos uma breve introdução sobre a teoria básica dos Espaços de Sobolev com o objetivo de fundamentar nosso estudo e fornecer ferramentas suficientes para o desenvolvimento do nosso trabalho. Em seguida, faremos uma abordagem rápida sobre o Teorema de Browder-Minty e utilizaremos esse resultado para mostrar a existência de pelo menos uma solução fraca para um problema de Equações Diferenciais Parciais (EDP) elípticas cuja não-linearidade, denotada por f, é uma função conhecida. Para isso, além do resultado já mencionado, também utilizaremos como ferramentas de estudo: Teoremas de Imersão de Sobolev, Teoria dos Operadores Lineares e Contínuos, Desigualdade de Poincaré e Desigualdade de Hölder
The map BSG A( *) QS 0
Get PDFBökstedt M, Waldhausen F. The map BSG A( *) QS 0. In: Browder W, ed. Algebraic topology and algebraic K-theory: proceedings of a Conference October 24 - 28, 1983 (Entitled ´Algebraic Topology and Algebraic K-Theory´) at Princton University, dedicated to John C. Moore on his 60th birthday. Annals of mathematics studies ; 113. Princeton, NJ: Princeton Univ. Pr.; 1987: 418-431
Algebraic K-theory of spaces, concordance, and stable homotopy theory
Get PDFWaldhausen F. Algebraic K-theory of spaces, concordance, and stable homotopy theory. In: Browder W, ed. Algebraic topology and algebraic K-theory: proceedings of a Conference October 24 - 28, 1983 (Entitled ´Algebraic Topology and Algebraic K-Theory´) at Princton University, dedicated to John C. Moore on his 60th birthday. Annals of mathematics studies ; 113. Princeton, NJ: Princeton Univ. Pr.; 1987: 392-417
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