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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.

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

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Keywords: Banach lattice local uniform convexity, renorming
Article copyright: © Copyright 1982 American Mathematical Society

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