Renorming dual Banach lattices

Ghoussoub, N.

doi:10.1090/S0002-9939-1982-0643741-2

Renorming dual Banach lattices
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by N. Ghoussoub

Proc. Amer. Math. Soc. 84 (1982), 521-524

DOI: https://doi.org/10.1090/S0002-9939-1982-0643741-2

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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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