Del 2021 - Lecture Notes in Mathematics

Classical Summation in Commutative and Noncommutative Lp-Spaces

Häftad, Engelska, 2011

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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).

Produktinformation

Utgivningsdatum2011-06-22
Mått155 x 235 x 11 mm
Vikt289 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor171
Upplaga2011
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642204371

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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)