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A smooth, non-reflexive second conjugate space

Published online by Cambridge University Press:  17 April 2009

M.A. Smith
M.A. Smith
Affiliation:
Department of Mathematics, Lake Forest College, Lake Forest, IIlinois, USA.
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Abstract

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It is shown that a separable, quasi-reflexive Banach space of deficiency one admits an equivalent norm such that its second conjugate space is smooth; this answers a question raised by Ivan Singer [Bull. Austral. Math. Soc. 12 (1975), 407–416.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 1 , August 1976 , pp. 129 - 131
Copyright
Copyright © Australian Mathematical Society 1976

References

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