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Defant, Andreas.
Classical Summation in Commutative and Noncommutative Lp-Spaces [electronic resource] / by Andreas Defant. - VIII, 171p. online resource. - Lecture Notes in Mathematics, 2021 0075-8434 ; .
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).
9783642204388
Mathematics.
Global analysis (Mathematics).
Fourier analysis.
Functional analysis.
Distribution (Probability theory).
Mathematics.
Analysis.
Functional Analysis.
Fourier Analysis.
Probability Theory and Stochastic Processes.
QA299.6-433
515
Classical Summation in Commutative and Noncommutative Lp-Spaces [electronic resource] / by Andreas Defant. - VIII, 171p. online resource. - Lecture Notes in Mathematics, 2021 0075-8434 ; .
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).
9783642204388
Mathematics.
Global analysis (Mathematics).
Fourier analysis.
Functional analysis.
Distribution (Probability theory).
Mathematics.
Analysis.
Functional Analysis.
Fourier Analysis.
Probability Theory and Stochastic Processes.
QA299.6-433
515