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  3. Summing and Nuclear Norms in Banach Space Theory
  • Cited by 48
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
1987
Online ISBN:
9780511569166
DOI:
https://doi.org/10.1017/CBO9780511569166
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
London Mathematical Society Student Texts (8)
Information

Book description

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.

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