Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces
Defant, Andreas.
Classical Summation in Commutative and Noncommutative Lp-Spaces [electronic resource] / by Andreas Defant. - VIII, 171 p. 17 illus. online resource. - Lecture Notes in Mathematics, 2021 0075-8434 ; . - Lecture Notes in Mathematics, 2021 .
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
10.1007/978-3-642-20438-8 doi
Global analysis (Mathematics).
Functional analysis.
Fourier analysis.
Distribution (Probability theory.
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, 171 p. 17 illus. online resource. - Lecture Notes in Mathematics, 2021 0075-8434 ; . - Lecture Notes in Mathematics, 2021 .
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
10.1007/978-3-642-20438-8 doi
Global analysis (Mathematics).
Functional analysis.
Fourier analysis.
Distribution (Probability theory.
Analysis.
Functional Analysis.
Fourier Analysis.
Probability Theory and Stochastic Processes.
QA299.6-433
515