Lecture Notes in Mathematics
cover

Classical Summation in Commutative and Noncommutative Lp-Spaces

Authors: Defant, Andreas

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About this book

The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space  together with a faithful normal state on this algebra).

Reviews

From the reviews:

“The book under review is a beautiful and original exposition on the topic of almost everywhere convergent orthonormal series. … The student or researcher who succeeds in reading this book will be rewarded with a deep understanding of the subject, both in the commutative and noncommutative setting. … the book should stand on the shelf of anyone seriously interested in functional analysis and/or probability.” (Stanisław Goldstein, zbMATH, Vol. 1267, 2013)

“This book is well written, with a concise, clear and readable style. It is divided into 3 chapters and includes a preface, a bibliography consisting of 98 items, and symbol, author and subject indexes. … The book is a good source for specialists and graduate students working in functional analysis and operator theory.” (Mohammad Sal Moslehian, Mathematical Reviews, Issue 2012 d)

Table of contents (3 chapters)

Table of contents (3 chapters)
  • Introduction

    Pages 1-13

    Defant, Andreas

  • Commutative Theory

    Pages 15-78

    Defant, Andreas

  • Noncommutative Theory

    Pages 79-158

    Defant, Andreas

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-642-20438-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $44.99
price for USA in USD
  • ISBN 978-3-642-20437-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Classical Summation in Commutative and Noncommutative Lp-Spaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2021
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-20438-8
DOI
10.1007/978-3-642-20438-8
Softcover ISBN
978-3-642-20437-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 171
Number of Illustrations
17 b/w illustrations
Topics