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Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2021)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 46-XX; 47-XX
- Menchoff-Rademacher type theorems
- noncommutative $L_p$-spaces
- pointwise convergence of orthonormal series
- summation methods of orthonormal series
- symmetric spaces of operators
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)Authors and Affiliations
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Department of Mathematics, Carl von Ossietzky University Oldenburg, Oldenburg, Germany
Andreas Defant
Bibliographic Information
Book Title: Classical Summation in Commutative and Noncommutative Lp-Spaces
Authors: Andreas Defant
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-20438-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-20437-1Published: 22 June 2011
eBook ISBN: 978-3-642-20438-8Published: 21 June 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 171
Number of Illustrations: 17 b/w illustrations
Topics: Analysis, Functional Analysis, Fourier Analysis, Probability Theory