Classical summation in commutative and noncommutative Lp-spaces /

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Bibliographic Details
Author / Creator:Defant, Andreas, 1941-
Imprint:Berlin ; New York : Springer, ©2011.
Description:1 online resource (viii, 171 pages).
Language:English
Series:Lecture notes in mathematics ; 2021
Lecture notes in mathematics (Springer-Verlag) ; 2021.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11075708
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ISBN:9783642204388
3642204384
9783642204371
3642204376
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and indexes.
English.
Print version record.
Summary: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).
Standard no.:10.1007/978-3-642-20438-8
Table of Contents:
  • 1 Introduction
  • 2 Commutative Theory
  • 3 Noncommutative Theory.