Nuclearity and Banach spaces
1977 ◽
Vol 20
(3)
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pp. 205-209
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Keyword(s):
SummaryLet E be a nuclear space provided with a topology different from the weak topology. Let {Ai: i ∈ I} be a fundamental system of equicontinuous subsets of the topological dual E' of E. If {Fi: i ∈ I} is a family of infinite dimensional Banach spaces with separable predual, there is a fundamental system {Bi: i ∈ I} of weakly closed absolutely convex equicontinuous subsets of E'such that is norm-isomorphic to Fi, for each i ∈ I. Other results related with the one above are also given.
1990 ◽
Vol 42
(1)
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pp. 7-19
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Keyword(s):
1995 ◽
pp. 149-175
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