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

• Autorzy: Houcine Benabdellah , My Hachem Lalaoui Rhali
• Języki publikacji: 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).

Kategorie tematyczne

• 15A15: Determinants, permanents, other special matrix functions
• 05A15: Exact enumeration problems, generating functions
• 05C38: Paths and cycles
• 15A18: Eigenvalues, singular values, and eigenvectors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 1
• Strony: 9-18

Daty

wydano

2004

Twórcy

autor

Houcine Benabdellah

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

autor

My Hachem Lalaoui Rhali

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

Identyfikatory

DOI

10.4064/ba52-1-2