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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
DOI: 10.2307/2159836
Stable URL: http://www.jstor.org/stable/2159836
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Weakly Continuous Functions on Banach Spaces not Containing l1
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Abstract

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.

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