Property (H) in lebesgue-bochner function spaces
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.
Proceedings of the American Mathematical Society
Lin, B., & Lin, P. (1985). Property (H) in lebesgue-bochner function spaces. Proceedings of the American Mathematical Society, 95 (4), 581-584. https://doi.org/10.1090/S0002-9939-1985-0810168-2