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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Weakly continuous functions on Banach spaces not containing $ l\sb 1$


Author: Joaquín M. Gutiérrez
Journal: Proc. Amer. Math. Soc. 119 (1993), 147-152
MSC: Primary 46B20; Secondary 46G99
MathSciNet review: 1158000
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Abstract: Banach spaces not containing $ {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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1158000-9
PII: S 0002-9939(1993)1158000-9
Keywords: Space not containing $ {l_1}$, polynomial, holomorphic function, weakly sequentially continuous function
Article copyright: © Copyright 1993 American Mathematical Society