This textbook is an introduction to the techniques of summing and nuclear norms. The author's aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. The style is expository and the only prerequisite is a beginner's course on Wormed linear spaces and a minimal knowledge of functional analysis. Thus, Dr Jameson is able to concentrate on important, central results and gives concrete and largely non-technical proofs, often supplying alternative proofs which both contribute something to the understanding. Final-year undergraduates and postgraduates in functional analysis will enjoy this introduction to the subject, and there are many examples and exercises throughout the text to help the reader and to demonstrate the range of application these techniques find. A list of references indicates the way for further reading.
Previews available in: English
Subjects
| Edition | Availability |
|---|---|
1
Summing and Nuclear Norms in Banach Space Theory
2011, Cambridge University Press
in English
0511872720 9780511872723
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2
Summing and Nuclear Norms in Banach Space Theory
2009, Cambridge University Press
in English
0511569165 9780511569166
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3
Summing and nuclear norms in Banach space theory
1987, Cambridge University Press
in English
0521341345 9780521341349
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Edition Notes
Bibliography: p. [170]-172.
Includes index.
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