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Author : H. Garth Dales
Publisher : Cambridge University Press
Page : 338 pages
File Size : 13,58 MB
Release : 2003-11-13
Category : Mathematics
ISBN : 9780521535847
Table of contents
Author :
Publisher :
Page : 324 pages
File Size : 44,67 MB
Release : 2003
Category : Banach algebras
ISBN : 9780511566509
Arising from lecture courses given by the authors, this book gives introductions to important topics in functional analysis at a level ideal for beginning graduate students as well as others interested in the subject. The collection is carefully written to form a coherent and accessible introduction to current research topics.
Author :
Publisher :
Page : 324 pages
File Size : 47,21 MB
Release : 2003
Category : Banach algebras
ISBN : 9781107138599
Arising from lecture courses given by the authors, this book gives introductions to important topics in functional analysis at a level ideal for beginning graduate students as well as others interested in the subject. The collection is carefully written to form a coherent and accessible introduction to current research topics.
Author : Mahmoud Filali
Publisher : Walter de Gruyter GmbH & Co KG
Page : 307 pages
File Size : 22,75 MB
Release : 2020-08-24
Category : Mathematics
ISBN : 3110600439
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 : Anthony To-Ming Lau
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 18,7 MB
Release : 2004
Category : Mathematics
ISBN : 0821834711
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 - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.
Author : Eberhard Kaniuth
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 22,37 MB
Release : 2008-12-16
Category : Mathematics
ISBN : 0387724761
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.
Author : Harold Garth Dales
Publisher : Springer Nature
Page : 452 pages
File Size : 38,45 MB
Release :
Category :
ISBN : 3031445325
Author : Volker Runde
Publisher : Springer Nature
Page : 468 pages
File Size : 26,46 MB
Release : 2020-03-03
Category : Mathematics
ISBN : 1071603515
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.
Author : Lynn H. Loomis
Publisher : Courier Corporation
Page : 210 pages
File Size : 34,14 MB
Release : 2013-05-09
Category : Mathematics
ISBN : 0486282317
Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.
Author : Yitzhak Katznelson
Publisher : Courier Dover Publications
Page : 292 pages
File Size : 40,43 MB
Release : 1976
Category : Mathematics
ISBN : 9780486633312
A concrete approach to harmonic analysis from Fourier series on T to commutative Banach algebras.