Rosenthal L∞-theorem revisited

Rosenthal L∞-theorem revisited

A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space.

Bibliographic Details
Main Author: L. Drewnowski
Format: Article
Language:English
Published: University of Extremadura 2021-06-01
Series:Extracta Mathematicae
Subjects:
Vector-valued L∞-function space
locally bounded space
p-normed space
quasi-normed space
isomorphism
Rosenthal L∞-theorem
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/643
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spelling doaj-dffcae6932834a2a8fa7f708ad43a8972021-06-17T20:28:18ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862021-06-01Rosenthal L∞-theorem revisitedL. Drewnowski0Faculty of Mathematics and Computer Science Adam Mickiewicz University Uniw. Poznańskiego 4, 61–614 Poznań, Poland A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space. https://publicaciones.unex.es/index.php/EM/article/view/643Vector-valued L∞-function spacelocally bounded spacep-normed spacequasi-normed spaceisomorphismRosenthal L∞-theorem
collection DOAJ
language English
format Article
sources DOAJ
author L. Drewnowski
spellingShingle L. Drewnowski
Rosenthal L∞-theorem revisited
Extracta Mathematicae
Vector-valued L∞-function space
locally bounded space
p-normed space
quasi-normed space
isomorphism
Rosenthal L∞-theorem
author_facet L. Drewnowski
author_sort L. Drewnowski
title Rosenthal L∞-theorem revisited
title_short Rosenthal L∞-theorem revisited
title_full Rosenthal L∞-theorem revisited
title_fullStr Rosenthal L∞-theorem revisited
title_full_unstemmed Rosenthal L∞-theorem revisited
title_sort rosenthal l∞-theorem revisited
publisher University of Extremadura
series Extracta Mathematicae
issn 0213-8743
2605-5686
publishDate 2021-06-01
description A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space.
topic Vector-valued L∞-function space
locally bounded space
p-normed space
quasi-normed space
isomorphism
Rosenthal L∞-theorem
url https://publicaciones.unex.es/index.php/EM/article/view/643
work_keys_str_mv AT ldrewnowski rosenthalltheoremrevisited
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