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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Banach spaces with separable duals


Author: M. Zippin
Journal: Trans. Amer. Math. Soc. 310 (1988), 371-379
MSC: Primary 46B15; Secondary 46B10
MathSciNet review: 965758
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Abstract: It is proved that every Banach space with a separable dual embeds into a space with a shrinking basis. It follows that every separable reflexive space can be embedded in a reflexive space with a basis.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0965758-0
PII: S 0002-9947(1988)0965758-0
Article copyright: © Copyright 1988 American Mathematical Society