Property (H) in lebesgue-bochner function spaces

Abstract

We prove that if a Banach space X has the property (HR) and if l1, is notisomorphic to a subspace of X, then every point on the unit sphere of X is a denting point of the closed unit ball. We also prove that if X has the above property, then Lp(µ, X), 1 < p < ∞, has the property (H). © 1985 American Mathematical Society.

Publication Title

Proceedings of the American Mathematical Society

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