Characterization of strongly exposed points in general Kothe-Bochner Banach spaces

• Autorzy: Benabdellah, H. , Lalaoui Rhali, M. H.
• Języki publikacji: EN

Abstrakty

EN

We study strongly exposed points in general Kothe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifunction [Gamma]. 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(omega)/||f(omega)[| is a strongly exposed point of B_E for [my]-almost all [omega is an element of S(f)].

Słowa kluczowe

PL

przestrzeń Kothe-Bochnera Banacha; punkt silnie ekstremalny; wybór mierzalny

EN

Kothe-Bochner Banach spaces; strongly extreme points; measurable selections

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 1
• Strony: 9-18
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Benabdellah, H.

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

autor

Lalaoui Rhali, M. H.

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

Bibliografia

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