Orlicz spaces associated with a semi-finite von Neumann algebra

Sh. A. Ayupov; V. I. Chilin; R. Z. Abdullaev

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 4, page 519-533
  • ISSN: 0010-2628

Abstract

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Let M be a von Neumann algebra, let ϕ be a weight on M and let Φ be N -function satisfying the ( δ 2 , Δ 2 ) -condition. In this paper we study Orlicz spaces, associated with M , ϕ and Φ .

How to cite

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Ayupov, Sh. A., Chilin, V. I., and Abdullaev, R. Z.. "Orlicz spaces associated with a semi-finite von Neumann algebra." Commentationes Mathematicae Universitatis Carolinae 53.4 (2012): 519-533. <http://eudml.org/doc/252466>.

@article{Ayupov2012,
abstract = {Let $M$ be a von Neumann algebra, let $\varphi $ be a weight on $M$ and let $\Phi $ be $N$-function satisfying the $(\delta _\{2\}, \Delta _\{2\})$-condition. In this paper we study Orlicz spaces, associated with $M$, $\varphi $ and $\Phi $.},
author = {Ayupov, Sh. A., Chilin, V. I., Abdullaev, R. Z.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz spaces; von Neumann algebra; weight; Orlicz space; von Neumann algebra; weights; traces; -function},
language = {eng},
number = {4},
pages = {519-533},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Orlicz spaces associated with a semi-finite von Neumann algebra},
url = {http://eudml.org/doc/252466},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Ayupov, Sh. A.
AU - Chilin, V. I.
AU - Abdullaev, R. Z.
TI - Orlicz spaces associated with a semi-finite von Neumann algebra
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 4
SP - 519
EP - 533
AB - Let $M$ be a von Neumann algebra, let $\varphi $ be a weight on $M$ and let $\Phi $ be $N$-function satisfying the $(\delta _{2}, \Delta _{2})$-condition. In this paper we study Orlicz spaces, associated with $M$, $\varphi $ and $\Phi $.
LA - eng
KW - Orlicz spaces; von Neumann algebra; weight; Orlicz space; von Neumann algebra; weights; traces; -function
UR - http://eudml.org/doc/252466
ER -

References

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  12. Trunov N.V., On the theory of normal weights on von Neumann algebras, Izv. Vyssh. Uchebn. Zaved. Math. 8 1982, 61–70. Zbl0521.46056MR0675719
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