On Kottman's constants in Banach spaces

Jesús M. F. Castillo; Pier Luigi Papini

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 75-84
  • ISSN: 0137-6934

Abstract

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This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.

How to cite

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Jesús M. F. Castillo, and Pier Luigi Papini. "On Kottman's constants in Banach spaces." Banach Center Publications 92.1 (2011): 75-84. <http://eudml.org/doc/282134>.

@article{JesúsM2011,
abstract = {This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.},
author = {Jesús M. F. Castillo, Pier Luigi Papini},
journal = {Banach Center Publications},
keywords = {separation constants; Kottman's constant},
language = {eng},
number = {1},
pages = {75-84},
title = {On Kottman's constants in Banach spaces},
url = {http://eudml.org/doc/282134},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Jesús M. F. Castillo
AU - Pier Luigi Papini
TI - On Kottman's constants in Banach spaces
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 75
EP - 84
AB - This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of c₀-valued Lipschitz maps.
LA - eng
KW - separation constants; Kottman's constant
UR - http://eudml.org/doc/282134
ER -

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