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A Short Course on Banach Space Theory (London Mathematical Society Student Texts, Series Number 64) - Softcover
Synopsis
This short course on classical Banach space theory is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more user-friendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading.
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Review
'This lively written text focuses on certain aspects of the (neo-) classical theory of Banach spaces as developed in the 1950s and 1960s and is intended as an introduction to the subject, e.g., for future Ph.D. students. ... This slim book is indeed very well suited to serve as an introduction to Banach spaces. Readers who have mastered it are well prepared to study more advanced texts such as P. Wojtaszczyk's Banach Spaces for Analysts (Cambridge University Press, second edition) or research papers.' Zentralblatt MATH
'... a painstaking attention both to detail in the mathematics and to accessibility for the reader. ... You could base a good postgraduate course on it.' Bulletin of the London Mathematical Society
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- PublisherCambridge University Press
- Publication date2004
- ISBN 10 0521603722
- ISBN 13 9780521603720
- BindingPaperback
- LanguageEnglish
- Number of pages198
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Short Course on Banach Space Theory
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Cambridge University Press, 2004
ISBN 10: 0521603722
ISBN 13: 9780521603720
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A Short Course on Banach Space Theory (London Mathematical Society Student Texts, Series Number 64)
Published by
Cambridge University Press, 2004
ISBN 10: 0521603722
ISBN 13: 9780521603720
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A Short Course on Banach Space Theory (London Mathematical Society Student Texts 64)
Published by
Cambridge University Press, 2004
ISBN 10: 0521603722
ISBN 13: 9780521603720
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Condition: Used - Very Good. 2004. Paperback. Octavo. xii & 184 pp. Mild shelf wear to wraps. Remainder mark to bottom edge of text block. Altogether a copy in Very Good condition. Very Good. Seller Inventory # C59645
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A Short Course on Banach Space Theory
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ISBN 10: 0521603722
ISBN 13: 9780521603720
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A Short Course on Banach Space Theory (London Mathematical Society Student Texts, Series Number 64)
Published by
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ISBN 10: 0521603722
ISBN 13: 9780521603720
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A Short Course on Banach Space Theory (London Mathematical Society Student Texts, Series Number 64)
Published by
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ISBN 10: 0521603722
ISBN 13: 9780521603720
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A Short Course on Banach Space Theory
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A Short Course on Banach Space Theory
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ISBN 13: 9780521603720
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A Short Course on Banach Space Theory (Paperback)
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Cambridge University Press, Cambridge, 2004
ISBN 10: 0521603722
ISBN 13: 9780521603720
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Paperback. Condition: new. Paperback. This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: The elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course. This short course on classical Banach space theory is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more user-friendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521603720
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A Short Course on Banach Space Theory
Published by
Cambridge University Press, 2004
ISBN 10: 0521603722
ISBN 13: 9780521603720
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: The elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course. Seller Inventory # 9780521603720
Quantity: 1 available