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• # Artykuł - szczegóły

## Bulletin of the Polish Academy of Sciences. Mathematics

2004 | 52 | 1 | 9-18

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

EN

### Abstrakty

EN
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).

9-18

wydano
2004

### Twórcy

autor
• Department of Mathematics, University Cadi Ayyad, Faculty of Sciences Semlalia, P.O. Box 2390, Marrakesh, Morocco
• Department of Mathematics, University Cadi Ayyad, Faculty of Sciences Semlalia, P.O. Box 2390, Marrakesh, Morocco