We study strongly exposed points in general Köthe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifunction Γ. We then apply this result to the study of strongly exposed points of the closed unit ball of X(E). Precisely we show that if an element f is a strongly exposed point of , then |f| is a strongly exposed point of and f(ω)/∥ f(ω)∥ is a strongly exposed point of for μ-almost all ω ∈ S(f).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-2,
author = {Houcine Benabdellah and My Hachem Lalaoui Rhali},
title = {Characterization of Strongly Exposed Points in General K\"othe-Bochner Banach Spaces},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {52},
year = {2004},
pages = {9-18},
zbl = {1107.46009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-2}
}
Houcine Benabdellah; My Hachem Lalaoui Rhali. Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 9-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-2/