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: TextTextSeries: Lecture Notes in Mathematics ; 2021Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: VIII, 171p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642204388Subject(s): Mathematics | Global analysis (Mathematics) | Fourier analysis | Functional analysis | Distribution (Probability theory) | Mathematics | Analysis | Functional Analysis | Fourier Analysis | Probability Theory and Stochastic ProcessesAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online 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).
Item type: E-BOOKS
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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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