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Cover image for book Classical Summation in Commutative and Noncommutative Lp-Spaces

Classical Summation in Commutative and Noncommutative Lp-Spaces

By:Andreas Defant
Publisher:Springer Nature
Print ISBN:9783642204371
eText ISBN:9783642204388
Edition:0
Copyright:2011
Format:Page Fidelity

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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).