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...

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Detalles Bibliográficos
Autor principal: Defant, Andreas
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-20438-8
http://cds.cern.ch/record/1691780
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author Defant, Andreas
author_facet Defant, Andreas
author_sort Defant, Andreas
collection CERN
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).
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spelling cern-16917802021-04-21T21:07:07Zdoi:10.1007/978-3-642-20438-8http://cds.cern.ch/record/1691780engDefant, AndreasClassical summation in commutative and noncommutative Lp-spacesMathematical Physics and MathematicsThe 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).Springeroai:cds.cern.ch:16917802011
spellingShingle Mathematical Physics and Mathematics
Defant, Andreas
Classical summation in commutative and noncommutative Lp-spaces
title Classical summation in commutative and noncommutative Lp-spaces
title_full Classical summation in commutative and noncommutative Lp-spaces
title_fullStr Classical summation in commutative and noncommutative Lp-spaces
title_full_unstemmed Classical summation in commutative and noncommutative Lp-spaces
title_short Classical summation in commutative and noncommutative Lp-spaces
title_sort classical summation in commutative and noncommutative lp-spaces
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-20438-8
http://cds.cern.ch/record/1691780
work_keys_str_mv AT defantandreas classicalsummationincommutativeandnoncommutativelpspaces

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