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
Full-text PDF
Abstract | References | Additional Information
Abstract: A Banach space 
has a total nonnorming subspace in its dual if and only if 
has infinite codimension in its second dual.
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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
