Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces [electronic resource] / by Andreas Defant.
Tipo de material:
TextoSeries Lecture Notes in Mathematics ; 2021 | Lecture Notes in Mathematics ; 2021Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: VIII, 171p. online resourceTipo de contenido: - text
- computer
- online resource
- 9783642204388
- SpringerLink (Online service)
- 515 23
- QA299.6-433
Contenidos:
Springer eBooksResumen: 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).
ZDB-2-SMA
ZDB-2-LNM
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