# Ball remotal subspaces of Banach spaces

Pradipta Bandyopadhyay; Bor-Luh Lin; T. S. S. R. K. Rao

Colloquium Mathematicae (2009)

- Volume: 114, Issue: 1, page 119-133
- ISSN: 0010-1354

## Access Full Article

top## Abstract

top## How to cite

topPradipta 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.