Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces

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...

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Bibliographic Details
Main Author: Defant, Andreas (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Series:Lecture Notes in Mathematics, 2021
Subjects:
Online Access:Full Text via HEAL-Link
Description
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).
Physical Description:VIII, 171 p. 17 illus. online resource.
ISBN:9783642204388
ISSN:0075-8434 ;