Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces [electronic resource] / by Andreas Defant.

By:

Defant, Andreas [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 2021Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: VIII, 171 p. 17 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642204388

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515 23

LOC classification:

QA299.6-433

Online resources:

Click here to access online

Contents:

1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory.

In: Springer eBooksSummary: 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).

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1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory.

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).

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