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Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces [electronic resource] / by Andreas Defant.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 2021Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: VIII, 171p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642204388
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 515 23
LOC classification:
  • QA299.6-433
Online resources:
Contents:
1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory.
In: Springer eBooksSummary: 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).
Item type: E-BOOKS
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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).

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The Institute of Mathematical Sciences, Chennai, India