Overview
- Author has carefully chosen the most important topics within Banach algebra theory
- Incorporates recent advances concerning so-called spectral extension properties and the unique uniform norm property
- Investigates projective tensor products under all aspects of the book
- Exercises are plentiful throughout the text
- Class-tested at the University of Heidelberg, Technical University of Munich, and University of Paderborn
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 246)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
Similar content being viewed by others
Keywords
Table of contents (5 chapters)
Reviews
From the reviews:
“A course in commutative Banach algebras is the outgrowth of several graduate courses the author has taught. … The beginning of each chapter sets the stage for what is to follow and each concludes with notes and references. … This well-written book is a valuable resource for anyone working in the area of commutative Banach algebras. The book is very readable … . The text is well developed, the material is well motivated, and the book has an extensive list of references for further reading.” (Pamela Gorkin, Mathematical Reviews, Issue 2010 d)
“This is a very well written book devoted to the theory of commutative Banach algebras over the complex field C, with emphasis on applications to harmonic analysis. … The book contains a large collection of problems at the end of each chapter, and a very useful appendix on point set topology, functional analysis, measure theory, Haar measure and the Pontryagin duality theorem. It will be a valuable resource for graduate students and researchers in Banach algebra theory and abstract harmonic analysis.” (Anthony To-Ming Lau, Zentralblatt MATH, Vol. 1190, 2010)
“Kaniuth’s book … is a masterpiece of exposition. The theory is developed in five big chapters, each ending with a copious collection of interesting exercises and notes and references both to a comprehensive bibliography and an appendix reprising key background results … . This clearly and carefully written book … is an excellent addition to the literature. … a companion text both to a general course on Banach algebras and to a more advanced course specialising in their application to harmonic analysis.” (Nick Lord, The Mathematical Gazette, Vol. 94 (531), November, 2010)
Authors and Affiliations
Bibliographic Information
Book Title: A Course in Commutative Banach Algebras
Authors: Eberhard Kaniuth
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-72476-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-72475-1Published: 11 November 2008
Softcover ISBN: 978-1-4419-2479-7Published: 19 November 2010
eBook ISBN: 978-0-387-72476-8Published: 16 December 2008
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XII, 353
Topics: Functional Analysis, Operator Theory