On nested sequences of convex sets in Banach spaces

Jesús M. F. Castillo; Manuel González; Pier Luigi Papini

Studia Mathematica (2014)

  • Volume: 222, Issue: 1, page 19-28
  • ISSN: 0039-3223

Abstract

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We study different aspects of the representation of weak*-compact convex sets of the bidual X** of a separable Banach space X via a nested sequence of closed convex bounded sets of X.

How to cite

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Jesús M. F. Castillo, Manuel González, and Pier Luigi Papini. "On nested sequences of convex sets in Banach spaces." Studia Mathematica 222.1 (2014): 19-28. <http://eudml.org/doc/286421>.

@article{JesúsM2014,
abstract = {We study different aspects of the representation of weak*-compact convex sets of the bidual X** of a separable Banach space X via a nested sequence of closed convex bounded sets of X.},
author = {Jesús M. F. Castillo, Manuel González, Pier Luigi Papini},
journal = {Studia Mathematica},
keywords = {weak-compact convex sets; nested sequences; distance type; Banach spaces not containing },
language = {eng},
number = {1},
pages = {19-28},
title = {On nested sequences of convex sets in Banach spaces},
url = {http://eudml.org/doc/286421},
volume = {222},
year = {2014},
}

TY - JOUR
AU - Jesús M. F. Castillo
AU - Manuel González
AU - Pier Luigi Papini
TI - On nested sequences of convex sets in Banach spaces
JO - Studia Mathematica
PY - 2014
VL - 222
IS - 1
SP - 19
EP - 28
AB - We study different aspects of the representation of weak*-compact convex sets of the bidual X** of a separable Banach space X via a nested sequence of closed convex bounded sets of X.
LA - eng
KW - weak-compact convex sets; nested sequences; distance type; Banach spaces not containing
UR - http://eudml.org/doc/286421
ER -

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