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Weakly Continuous Functions on Banach Spaces not Containing l1
Joaquín M. Gutiérrez
Proceedings of the American Mathematical Society
Vol. 119, No. 1 (Sep., 1993), pp. 147-152
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2159836
Page Count: 6
You can always find the topics here!Topics: Banach space, Continuous functions, Polynomials, Mathematical theorems, Analytic functions, Mathematical sequences, Topological theorems, Topological compactness, Algebra
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Banach spaces not containing l1 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.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society