Directional uniform rotundity in spaces of essentially bounded vector functions

Fernández, Manuel; Palacios, Isidro

doi:10.1090/S0002-9939-97-03579-X

Directional uniform rotundity in spaces of essentially bounded vector functions
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by Manuel Fernández and Isidro Palacios PDF

Proc. Amer. Math. Soc. 125 (1997), 1323-1328 Request permission

Abstract:

A formula is given for the directional uniform rotundity modulus of $\mathrm {Li}_\infty {X}$, where $X$ is a normed space. Then a necessary and sufficient condition is provided for $\mathrm {Li}_\infty {X}$ to be uniformly rotund in a direction.

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