Ball remotal subspaces of Banach spaces

Pradipta Bandyopadhyay, Bor-Luh Lin, and T. S. S. R. K. Rao. "Ball remotal subspaces of Banach spaces." Colloquium Mathematicae 114.1 (2009): 119-133. <http://eudml.org/doc/283714>.

@article{PradiptaBandyopadhyay2009,
abstract = {We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).},
author = {Pradipta Bandyopadhyay, Bor-Luh Lin, T. S. S. R. K. Rao},
journal = {Colloquium Mathematicae},
keywords = {farthest points; remotal sets; densely remotal sets; Banach spaces; strictly convex spaces; locally uniformly rotund spaces; Radon-Nikodym property; Asplund spaces; Lebesgue-Bochner spaces; spaces of compact operators},
language = {eng},
number = {1},
pages = {119-133},
title = {Ball remotal subspaces of Banach spaces},
url = {http://eudml.org/doc/283714},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Pradipta Bandyopadhyay
AU - Bor-Luh Lin
AU - T. S. S. R. K. Rao
TI - Ball remotal subspaces of Banach spaces
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 119
EP - 133
AB - We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).
LA - eng
KW - farthest points; remotal sets; densely remotal sets; Banach spaces; strictly convex spaces; locally uniformly rotund spaces; Radon-Nikodym property; Asplund spaces; Lebesgue-Bochner spaces; spaces of compact operators
UR - http://eudml.org/doc/283714
ER -