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Author : Harold Garth Dales
Publisher : Springer Nature
Page : 452 pages
File Size : 55,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031445323
Author : H. Garth Dales,A. Ülger
Publisher : Unknown
Page : 0 pages
File Size : 50,5 Mb
Release : 2024
Category : Algebras, Linear
ISBN : 3031445341
This book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results. The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.
Author : Mahmoud Filali
Publisher : Walter de Gruyter GmbH & Co KG
Page : 307 pages
File Size : 44,8 Mb
Release : 2020-08-24
Category : Mathematics
ISBN : 9783110600438
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : S.H. Kulkarni,B.V. Limaye
Publisher : CRC Press
Page : 204 pages
File Size : 48,8 Mb
Release : 1992-08-25
Category : Mathematics
ISBN : 082478653X
This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.
Author : Charles Earl Rickart
Publisher : Krieger Publishing Company
Page : 416 pages
File Size : 55,6 Mb
Release : 1974
Category : Algebraic fields
ISBN : UOM:39076005234385
Author : Bernard R. Gelbaum
Publisher : Unknown
Page : 44 pages
File Size : 51,8 Mb
Release : 1958
Category : Banach algebras
ISBN : UOM:39015095253079
Author : Krzysztof Jarosz
Publisher : Springer
Page : 123 pages
File Size : 51,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540393702
Author : Graham Allan,Graham R. Allan,Harold G. Dales
Publisher : Oxford University Press
Page : 380 pages
File Size : 42,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780199206537
The text begins by giving the basic theory of Banach spaces, in particular discussing dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and to operators on Hilbert spaces. --
Author : Aref Jeribi,Bilel Krichen
Publisher : CRC Press
Page : 371 pages
File Size : 54,5 Mb
Release : 2015-08-14
Category : Mathematics
ISBN : 9781498733892
Uncover the Useful Interactions of Fixed Point Theory with Topological Structures Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces and algebras. The authors present several extensions of Schauder’s and Krasnosel’skii’s fixed point theorems to the class of weakly compact operators acting on Banach spaces and algebras, particularly on spaces satisfying the Dunford–Pettis property. They also address under which conditions a 2×2 block operator matrix with single- and multi-valued nonlinear entries will have a fixed point. In addition, the book describes applications of fixed point theory to a wide range of diverse equations, including transport equations arising in the kinetic theory of gas, stationary nonlinear biological models, two-dimensional boundary-value problems arising in growing cell populations, and functional systems of integral equations. The book focuses on fixed point results under the weak topology since these problems involve the loss of compactness of mappings and/or the missing geometric and topological structure of their underlying domain.
Author : Krzysztof Jarov
Publisher : CRC Press
Page : 450 pages
File Size : 46,6 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000147933
This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Author : Bingren Li
Publisher : World Scientific
Page : 264 pages
File Size : 50,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9812795189
Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras,
Author : Ju-kwei Wang
Publisher : Unknown
Page : 122 pages
File Size : 45,9 Mb
Release : 1958
Category : Mathematics
ISBN : STANFORD:36105031170058
Author : Harold G. Dales,Anthony To-Ming Lau,Dona Strauss
Publisher : American Mathematical Soc.
Page : 178 pages
File Size : 51,6 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780821867075
"Volume 205, number 966 (end of volume)."
Author : John Wermer
Publisher : Unknown
Page : 184 pages
File Size : 46,6 Mb
Release : 1976
Category : Banach algebras
ISBN : UCAL:B4406552
Author : Volker Runde
Publisher : American Mathematical Soc.
Page : 364 pages
File Size : 54,8 Mb
Release : 2004-11-10
Category : Banach algebras
ISBN : 0821856987
This proceedings volume is from the international conference on Banach algebras and their applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from $K$-theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.