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Weak star separability

Published online by Cambridge University Press:  17 April 2009

E.N. Dancer  and
Brailey Sims
E.N. Dancer
Affiliation:
Department of Mathematics, University of New England, Armidale, New South Wales.
Brailey Sims
Affiliation:
Department of Mathematics, University of New England, Armidale, New South Wales.
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Abstract

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For a Banach space X, Susumu Okada raised the question of whether the unit hall of the dual space X* is weak* separable if X* is weak* separable. The problem occurred in the theory of manifolds modelled on locally convex spaces. We answer the question in the negative but show that it is true for particular types of spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 2 , April 1979 , pp. 253 - 257
Copyright
Copyright © Australian Mathematical Society 1979

References

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