Introduction To Banach Spaces And Algebras
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Author |
: Graham R. Allan |
Publisher |
: Oxford University Press |
Total Pages |
: 380 |
Release |
: 2011 |
ISBN-10 |
: 9780199206537 |
ISBN-13 |
: 0199206538 |
Rating |
: 4/5 (37 Downloads) |
Synopsis Introduction to Banach Spaces and Algebras by : Graham R. Allan
A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.
Author |
: Robert E. Megginson |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 613 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461206033 |
ISBN-13 |
: 1461206030 |
Rating |
: 4/5 (33 Downloads) |
Synopsis An Introduction to Banach Space Theory by : Robert E. Megginson
Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
Author |
: H. Garth Dales |
Publisher |
: Cambridge University Press |
Total Pages |
: 338 |
Release |
: 2003-11-13 |
ISBN-10 |
: 0521535840 |
ISBN-13 |
: 9780521535847 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Introduction to Banach Algebras, Operators, and Harmonic Analysis by : H. Garth Dales
Table of contents
Author |
: Eberhard Kaniuth |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 362 |
Release |
: 2008-12-16 |
ISBN-10 |
: 9780387724768 |
ISBN-13 |
: 0387724761 |
Rating |
: 4/5 (68 Downloads) |
Synopsis A Course in Commutative Banach Algebras by : Eberhard Kaniuth
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 |
: Joseph Muscat |
Publisher |
: Springer Nature |
Total Pages |
: 462 |
Release |
: |
ISBN-10 |
: 9783031275371 |
ISBN-13 |
: 3031275373 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Functional Analysis by : Joseph Muscat
Author |
: |
Publisher |
: Elsevier |
Total Pages |
: 321 |
Release |
: 2011-10-10 |
ISBN-10 |
: 9780080871790 |
ISBN-13 |
: 0080871798 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Introduction to Banach Spaces and their Geometry by :
Introduction to Banach Spaces and their Geometry
Author |
: Albrecht Pietsch |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 877 |
Release |
: 2007-12-31 |
ISBN-10 |
: 9780817645960 |
ISBN-13 |
: 0817645969 |
Rating |
: 4/5 (60 Downloads) |
Synopsis History of Banach Spaces and Linear Operators by : Albrecht Pietsch
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Author |
: Caradus |
Publisher |
: Routledge |
Total Pages |
: 160 |
Release |
: 2017-10-19 |
ISBN-10 |
: 9781351462778 |
ISBN-13 |
: 1351462776 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Calkin Algebras and Algebras of Operators on Banach SPates by : Caradus
Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.
Author |
: Raymond A. Ryan |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 229 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9781447139034 |
ISBN-13 |
: 1447139038 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Introduction to Tensor Products of Banach Spaces by : Raymond A. Ryan
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Author |
: Barry Edward Johnson |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 104 |
Release |
: 1972 |
ISBN-10 |
: 9780821818275 |
ISBN-13 |
: 0821818279 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Cohomology in Banach Algebras by : Barry Edward Johnson
Let [Fraktur capital]A be a Banach algebra, [Fraktur capital]X a two-sided Banach [Fraktur capital] A-module, and define the cohomology groups [italic]H[italic superscript]n([Fraktur capital]A, [Fraktur capital]X) from the complex of bounded cochains in exact analogy to the classical (algebraic) case. This article gives an introduction to several aspects of the resulting theory.