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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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Classical summation in commutative and noncommutative Lp-spaces, Andreas Defant
- Language
- Released
- 2011
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- Title
- Classical summation in commutative and noncommutative Lp-spaces
- Language
- English
- Authors
- Andreas Defant
- Publisher
- Springer
- Released
- 2011
- ISBN10
- 3642204376
- ISBN13
- 9783642204371
- Category
- Mathematics
- Description
- 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).