Strongly exposed points in Lebesgue-Bochner function spaces
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- by Zhibao Hu and Bor-Luh Lin PDF
- Proc. Amer. Math. Soc. 120 (1994), 1159-1165 Request permission
Abstract:
It is a result of Peter Greim that if $f$ is a strongly exposed point of the unit ball of Lebesgue-Bochner function space ${L^p}(\mu ,X),\;1 < p < \infty$, then $f$ is a unit vector and $f(t)/||f(t)||$ is a strongly exposed point of the unit ball of $X$ for almost all $t$ in the support of $f$. We prove that the converse is also true.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1159-1165
- MSC: Primary 46E40; Secondary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1176069-3
- MathSciNet review: 1176069