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Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces

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Benabdellah H., Lalaoui Rhali M.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

tom 52

nr 1

9-18

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 $B_{X(E)}$, then |f| is a strongly exposed point of $B_{X}$ and f(ω)/∥ f(ω)∥ is a strongly exposed point of $B_{E}$ for μ-almost all ω ∈ S(f).

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Benabdellah H.

1 Lalaoui Rhali M.

1 2004

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Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces