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Nuclearity and Banach spaces

Published online by Cambridge University Press:  20 January 2009

Manuel Valdivia
Manuel Valdivia
Affiliation:
Facultad de Ciencias, Paseo al Mar, 13, Valencia (Espana)
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Summary

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Let 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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 3 , March 1977 , pp. 205 - 209
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

REFERENCE

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