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

Houcine Benabdellah, and My Hachem Lalaoui Rhali. "Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 52.1 (2004): 9-18. <http://eudml.org/doc/280317>.

@article{HoucineBenabdellah2004,
abstract = {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).},
author = {Houcine Benabdellah, My Hachem Lalaoui Rhali},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {1},
pages = {9-18},
title = {Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces},
url = {http://eudml.org/doc/280317},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Houcine Benabdellah
AU - My Hachem Lalaoui Rhali
TI - Characterization of Strongly Exposed Points in General Köthe-Bochner Banach Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 1
SP - 9
EP - 18
AB - 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).
LA - eng
UR - http://eudml.org/doc/280317
ER -