Classical Summation in Commutative and Noncommutative Lp-Spaces / Lecture Notes in Mathematics Bd.2021 (PDF)
(Sprache: Englisch)
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...
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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).
Bibliographische Angaben
- Autor: Andreas Defant
- 2011, 2011, 171 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3642204384
- ISBN-13: 9783642204388
- Erscheinungsdatum: 21.06.2011
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- Größe: 1.68 MB
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Englisch
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Pressezitat
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)
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