Mazur spaces

Albert Wilansky

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-15

Abstract:

A Mazur space is a locally convex topological vector space X such that every f ϵ X s is continuous where X s is the set of sequentially continuous linear functionals on X ; X s is studied when X is of the form C ( H ) , H a topological space, and when X is the weak * dual of a locally convex space. This leads to a new classification of compact T 2 spaces H , those for which the weak * dual of C ( H ) is a Mazur space. An open question about Banach spaces with weak * sequentially compact dual ball is settled: the dual space need not be Mazur.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:485140

DOI: 10.1155/S0161171281000021

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