Classical Summation in Commutative and Noncommutative Lp-Spaces [electronic resource] /
Defant, Andreas.author.
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).
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and indexes.
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).
Mathematical analysis.
Analysis (Mathematics).
Functional analysis.
Fourier analysis.
Probabilities.
Analysis.
Functional Analysis.
Fourier Analysis.
Probability Theory and Stochastic Processes.

Lecture Notes in Mathematics