Overview
- The approach taken is the unifying viewpoint of basic sequences
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 233)
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Table of contents (13 chapters)
Keywords
About this book
Reviews
From the reviews:
"Geometry of Banach Spaces is a quite technical field which requires a fair practice of sharp tools from every domain of analysis. … The authors of the book under review succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly. … the book is essentially self-contained. It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated … . I strongly recommend to every graduate student … ." (Gilles Godefroy, Mathematical Reviews, Issue 2006 h)
"This book gives a self-contained overview of the fundamental ideas and basic techniques in modern Banach space theory. … In this book one can find a systematic and coherent account of numerous theorems and examples obtained by many remarkable mathematicians. … It is intended for graduate students and specialists in classical functional analysis. … I think that any mathematician who is interested in geometry of Banach spaces should … look over this book. Undoubtedly, the book will be a useful addition to any mathematical library." (Peter Zabreiko, Zentralblatt MATH, Vol. 1094 (20), 2006)
"This book provides a sequel treatise on classical and modern Banach space theory. It is mainly focused on the study of classical Lebesgue spaces Lp, sequence spaces lp, and Banach spaces of continuous functions. … There is a comprehensive bibliography (225 items). The book is understandable and requires only a basic knowledge of functional analysis … . It can be warmly recommended to a broad spectrum of readers – to graduate students, young researchers and also to specialists in the field." (EMS Newsletter, March, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Topics in Banach Space Theory
Authors: Fernando Albiac, Nigel J. Kalton
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/0-387-28142-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2006
Softcover ISBN: 978-1-4419-2099-7Published: 19 November 2010
eBook ISBN: 978-0-387-28142-1Published: 28 May 2006
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XI, 376
Topics: Functional Analysis