Open AccessRosenthal L∞-theorem revisited
Author(s) -
Lech Drewnowski
Publication year - 2021
Publication title -
extracta mathematicae
Language(s) - English
Resource type - Journals
eISSN - 2605-5686
pISSN - 0213-8743
DOI - 10.17398/2605-5686.36.2.147
Subject(s) - normed vector space , mathematics , bounded function , space (punctuation) , topological vector space , pure mathematics , set (abstract data type) , vector space , discrete mathematics , topological space , mathematical analysis , computer science , programming language , operating system
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.