Classical Summation in Commutative and Noncommutative Lp-Spaces

Andreas Defant

Classical Summation in Commutative and Noncommutative Lp-Spaces
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
22 June 2011
Pages
171
ISBN
9783642204371

Classical Summation in Commutative and Noncommutative Lp-Spaces

Andreas Defant

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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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