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
Description
Summary: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.
ISSN:0213-8743
2605-5686

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