Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces (Lecture Notes in Mathematics, Vol. 2021)
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- Classical Summation in Commutative and Noncommutative LP Spaces
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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