A note on strong extreme and strongly exposed points in Bochner 𝐿^{𝑝}-spaces

Greim, Peter

doi:10.1090/S0002-9939-1985-0766528-1

A note on strong extreme and strongly exposed points in Bochner $L^ p$-spaces
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by Peter Greim

Proc. Amer. Math. Soc. 93 (1985), 65-66

DOI: https://doi.org/10.1090/S0002-9939-1985-0766528-1

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Abstract:

A strongly exposed (strongly extreme) vector-valued ${L^p}$-function takes only strongly exposed (strongly extreme) values almost everywhere on its support. We remove the restrictions, concerning the range space and the measure, in previous papers of the author and M. A. Smith.

References

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Peter Greim, Strongly exposed points in Bochner $L^{p}$-spaces, Proc. Amer. Math. Soc. 88 (1983), no. 1, 81–84. MR 691281, DOI 10.1090/S0002-9939-1983-0691281-8
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An extension of J. A. Johnson’s characterization of extremal vector-valued

-functions