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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: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2021Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: VIII, 171p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642204388.Subject(s): Mathematics | Global analysis (Mathematics) | Fourier analysis | Functional analysis | Distribution (Probability theory) | Mathematics | Analysis | Functional Analysis | Fourier Analysis | Probability Theory and Stochastic ProcessesDDC classification: 515 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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