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On total nonnorming subspaces


Authors: William J. Davis and Joram Lindenstrauss
Journal: Proc. Amer. Math. Soc. 31 (1972), 109-111
DOI: https://doi.org/10.1090/S0002-9939-1972-0288560-8
MathSciNet review: 0288560
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Abstract | References | Additional Information

Abstract: A Banach space $ X$ has a total nonnorming subspace in its dual if and only if $ X$ has infinite codimension in its second dual.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0288560-8
Keywords: Norming, quasi-reflexive space, dual space, conjugate space
Article copyright: © Copyright 1972 American Mathematical Society

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