On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces

Mikio Kato, Lech Maligranda, and Yasuji Takahashi. "On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces." Studia Mathematica 144.3 (2001): 275-295. <http://eudml.org/doc/284934>.

@article{MikioKato2001,
abstract = {Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant $C_\{NJ\}(X)$, and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between $C_\{NJ\}(X)$ and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the $C_\{NJ\}(X)$-constant, which implies that a Banach space with $C_\{NJ\}(X)$-constant less than 5/4 has the fixed point property.},
author = {Mikio Kato, Lech Maligranda, Yasuji Takahashi},
journal = {Studia Mathematica},
keywords = {uniformly convex spaces; uniformly smooth spaces; James constant; Jordan-von Neumann constant; Banach Mazur-distance; normal structure coefficient; fixed point property},
language = {eng},
number = {3},
pages = {275-295},
title = {On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces},
url = {http://eudml.org/doc/284934},
volume = {144},
year = {2001},
}

TY - JOUR
AU - Mikio Kato
AU - Lech Maligranda
AU - Yasuji Takahashi
TI - On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 3
SP - 275
EP - 295
AB - Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant $C_{NJ}(X)$, and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between $C_{NJ}(X)$ and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the $C_{NJ}(X)$-constant, which implies that a Banach space with $C_{NJ}(X)$-constant less than 5/4 has the fixed point property.
LA - eng
KW - uniformly convex spaces; uniformly smooth spaces; James constant; Jordan-von Neumann constant; Banach Mazur-distance; normal structure coefficient; fixed point property
UR - http://eudml.org/doc/284934
ER -