Property $(H)$ in Lebesgue-Bochner function spaces
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- by Bor-Luh Lin and Pei-Kee Lin PDF
- Proc. Amer. Math. Soc. 95 (1985), 581-584 Request permission
Abstract:
We prove that if a Banach space $X$ has the property (HR) and if ${l_1}$ is not isomorphic 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 ${L^p}\left ( {\mu ,X} \right )$, $1 < p < \infty$, has the property (H).References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 581-584
- MSC: Primary 46E40; Secondary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810168-2
- MathSciNet review: 810168