Banach Algebras 97

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Publisher : Walter de Gruyter
ISBN 13 : 3110802007
Total Pages : 576 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Banach Algebras 97 by : Ernst Albrecht

Download or read book Banach Algebras 97 written by Ernst Albrecht and published by Walter de Gruyter. This book was released on 2012-05-07 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Banach Algebras, Operators, and Harmonic Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521535847
Total Pages : 338 pages
Book Rating : 4.5/5 (358 download)

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Book Synopsis Introduction to Banach Algebras, Operators, and Harmonic Analysis by : H. Garth Dales

Download or read book Introduction to Banach Algebras, Operators, and Harmonic Analysis written by H. Garth Dales and published by Cambridge University Press. This book was released on 2003-11-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Banach Algebras with Symbol and Singular Integral Operators

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Publisher : Birkhäuser
ISBN 13 : 3034854633
Total Pages : 212 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Banach Algebras with Symbol and Singular Integral Operators by : N. Krupnik

Download or read book Banach Algebras with Symbol and Singular Integral Operators written by N. Krupnik and published by Birkhäuser. This book was released on 2013-11-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: About fifty years aga S. G. Mikhlin, in solving the regularization problem for two-dimensional singular integral operators [56], assigned to each such operator a func tion which he called a symbol, and showed that regularization is possible if the infimum of the modulus of the symbol is positive. Later, the notion of a symbol was extended to multidimensional singular integral operators (of arbitrary dimension) [57, 58, 21, 22]. Subsequently, the synthesis of singular integral, and differential operators [2, 8, 9]led to the theory of pseudodifferential operators [17, 35] (see also [35(1)-35(17)]*), which are naturally characterized by their symbols. An important role in the construction of symbols for many classes of operators was played by Gelfand's theory of maximal ideals of Banach algebras [201. Using this the ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)]. The investigation of systems of equations involving such operators has led to the notion of matrix symbol [59, 12 (14), 39, 41]. This notion plays an essential role not only for systems, but also for singular integral operators with piecewise-continuous (scalar) coefficients [44 (4)]. At the same time, attempts to introduce a (scalar or matrix) symbol for other algebras have failed.

M-Ideals in Banach Spaces and Banach Algebras

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Publisher : Springer
ISBN 13 : 3540477535
Total Pages : 390 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis M-Ideals in Banach Spaces and Banach Algebras by : Peter Harmand

Download or read book M-Ideals in Banach Spaces and Banach Algebras written by Peter Harmand and published by Springer. This book was released on 2006-11-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

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Publisher : Cambridge University Press
ISBN 13 : 9780521366380
Total Pages : 846 pages
Book Rating : 4.3/5 (663 download)

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Book Synopsis Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras by : Theodore W. Palmer

Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second of two volumes gives a modern exposition of the theory of Banach algebras.

A Course in Commutative Banach Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 0387724761
Total Pages : 362 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis A Course in Commutative Banach Algebras by : Eberhard Kaniuth

Download or read book A Course in Commutative Banach Algebras written by Eberhard Kaniuth and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms,there arethree types ofthem:algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such as approximation by polynomials or rational functions in speci?c - mains) are best understood within the framework of Banach algebras. Also, the study of a locally compact Abelian group is closely related to the study 1 of the group algebra L (G). There exist a rich literature and excellent texts on each single class of Banach algebras, notably on uniform algebras and on operator algebras. This work is intended as a textbook which provides a thorough introduction to the theory of commutative Banach algebras and stresses the applications to commutative harmonic analysis while also touching on uniform algebras. In this sense and purpose the book resembles Larsen’s classical text [75] which shares many themes and has been a valuable resource. However, for advanced graduate students and researchers I have covered several topics which have not been published in books before, including some journal articles.

Amenable Banach Algebras

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Publisher : Springer Nature
ISBN 13 : 1071603515
Total Pages : 468 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Amenable Banach Algebras by : Volker Runde

Download or read book Amenable Banach Algebras written by Volker Runde and published by Springer Nature. This book was released on 2020-03-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed.

Banach Algebras and Their Applications

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821834711
Total Pages : 343 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Algebras and Their Applications by : Anthony To-Ming Lau

Download or read book Banach Algebras and Their Applications written by Anthony To-Ming Lau and published by American Mathematical Soc.. This book was released on 2004 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Several Complex Variables and Banach Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 0387225862
Total Pages : 256 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Several Complex Variables and Banach Algebras by : Herbert Alexander

Download or read book Several Complex Variables and Banach Algebras written by Herbert Alexander and published by Springer Science & Business Media. This book was released on 2008-01-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. This third edition contains new material on maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter commenting on history and recent developments, as well as an updated and expanded reading list.

Banach Algebras on Semigroups and on Their Compactifications

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821847759
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Banach Algebras on Semigroups and on Their Compactifications by : Harold G. Dales

Download or read book Banach Algebras on Semigroups and on Their Compactifications written by Harold G. Dales and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 966 (end of volume)."

Banach Algebras

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Banach Algebras by : Wiesław Żelazko

Download or read book Banach Algebras written by Wiesław Żelazko and published by . This book was released on 1973 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Banach Algebras

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (217 download)

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Book Synopsis Banach Algebras by : Wiesłlaw Z̊elazko

Download or read book Banach Algebras written by Wiesłlaw Z̊elazko and published by . This book was released on 1973 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Theory of Banach Algebras

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Author :
Publisher : Krieger Publishing Company
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis General Theory of Banach Algebras by : Charles Earl Rickart

Download or read book General Theory of Banach Algebras written by Charles Earl Rickart and published by Krieger Publishing Company. This book was released on 1974 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic and Strong Splittings of Extensions of Banach Algebras

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821810588
Total Pages : 129 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic and Strong Splittings of Extensions of Banach Algebras by : William G. Bade

Download or read book Algebraic and Strong Splittings of Extensions of Banach Algebras written by William G. Bade and published by American Mathematical Soc.. This book was released on 1999 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\frak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\frak A$ is a Banach algebra and $I$ is a closed ideal in $\frak A$. The extension splits algebraically (respectively, splits strongly) if there is a homomorphism (respectively, continuous homomorphism) $\theta\: A\rightarrow\frak A$ such that $\pi\circ\theta$ is the identity on $A$. Consider first for which Banach algebras $A$ it is true that every extension of $A$ in a particular class of extensions splits, either algebraically or strongly, and second for which Banach algebras it is true that every extension of $A$ in a particular class which splits algebraically also splits strongly. These questions are closely related to the question when the algebra $\frak A$ has a (strong) Wedderburn decomposition. The main technique for resolving these questions involves the Banach cohomology group $\cal H2(A,E)$ for a Banach $A$-bimodule $E$, and related cohomology groups. Later chapters are particularly concerned with the case where the ideal $I$ is finite-dimensional. Results are obtained for many of the standard Banach algebras $A$.

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

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Publisher : Cambridge University Press
ISBN 13 : 9780521366373
Total Pages : 820 pages
Book Rating : 4.3/5 (663 download)

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Book Synopsis Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras by : Theodore W. Palmer

Download or read book Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994-03-25 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Lectures on Amenability

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Publisher : Springer
ISBN 13 : 3540455604
Total Pages : 302 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lectures on Amenability by : Volker Runde

Download or read book Lectures on Amenability written by Volker Runde and published by Springer. This book was released on 2004-10-14 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.

Proceedings of the Conference on Banach Algebras and Several Complex Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 0821850342
Total Pages : 295 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Proceedings of the Conference on Banach Algebras and Several Complex Variables by : Frederick P. Greenleaf

Download or read book Proceedings of the Conference on Banach Algebras and Several Complex Variables written by Frederick P. Greenleaf and published by American Mathematical Soc.. This book was released on 1984 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, these proceedings result from a conference on Banach Algebras and Several Complex Variables held June 21-24, 1983, to honor Professor Charles E. Rickart upon his retirement from Yale University. Articles present recent advances in a wide spectrum of topics related to Banach algebras, function algebras and infinite dimensional holomorphy, areas where Professor Rickart has made important contributions. From a research point of view, the articles of J. Esterle and B. Kramm are of special interest. Although the topics in this volume are diverse, a general knowledge of fundamental notions appearing in Banach algebra theory will suffice for understanding most articles.