Weakly continuous functions on Banach spaces not containing 𝑙₁-Reference-Cited by-同舟云学术

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Weakly continuous functions on Banach spaces not containing 𝑙₁

Published:1993 Issue:1 Volume:119 Page:147-152
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gutiérrez Joaquín M.

Abstract

Banach spaces not containing l 1 {l_1} are characterized in terms of continuous and holomorphic functions and polynomials which are weakly sequentially continuous and weakly continuous on bounded subsets. An application to (bounded linear) operators is also given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-01/S0002-9939-1993-1158000-9/S0002-9939-1993-1158000-9.pdf

Reference15 articles.

1. Weakly uniformly continuous and weakly sequentially continuous entire functions;Aron, Richard M.,1979

2. Spectra of algebras of analytic functions on a Banach space;Aron, R. M.;J. Reine Angew. Math.,1991

3. Weakly continuous functions on Banach spaces containing 𝑙₁;Aron, R. M.,1985

4. Weakly sequentially continuous analytic functions on a Banach space;Aron, Richard M.,1984

5. Weakly continuous mappings on Banach spaces;Aron, R. M.;J. Functional Analysis,1983

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