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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Renorming dual Banach lattices


Author: N. Ghoussoub
Journal: Proc. Amer. Math. Soc. 84 (1982), 521-524
MSC: Primary 46B30
MathSciNet review: 643741
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Abstract: We show that a Banach lattice is order continuous as well as its dual if and only if it admits an equivalent Fréchet differentiable and locally uniformly convex lattice norm such that its dual norm is also locally uniformly convex.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0643741-2
PII: S 0002-9939(1982)0643741-2
Keywords: Banach lattice local uniform convexity, renorming
Article copyright: © Copyright 1982 American Mathematical Society