1Department of Mathematics Kyushu Institute of Technology Tobata, Kitakyushu 804-8550, Japan 2Department of Mathematics Luleå University of Technology S-971 87 Luleå, Sweden 3Department of System Engineering Okayama Prefectural University Soja 719-1197, Japan
Studia Mathematica, Tome 144 (2001) no. 3, pp. 275-295
Some relations between the James (or non-square) constant
$J(X)$ and the Jordan–von Neumann constant $C_{\rm
NJ}(X)$, 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 $C_{\rm NJ}(X)$ and $J(X)$
are also shown. The normal structure coefficient of a Banach
space is estimated by the $C_{\rm NJ}(X)$-constant,
which implies that a Banach space with $C_{\rm
NJ}(X)$-constant less than 5/4 has the fixed point
property.
Mots-clés :
relations between james non square constant jordan von neumann constant normal structure coefficient banach spaces investigated relations between * given answer problem gao lau connections between shown normal structure coefficient banach space estimated constant which implies banach space constant has fixed point property
1
Department of Mathematics Kyushu Institute of Technology Tobata, Kitakyushu 804-8550, Japan
2
Department of Mathematics Luleå University of Technology S-971 87 Luleå, Sweden
3
Department of System Engineering Okayama Prefectural University Soja 719-1197, Japan
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author = {Mikio Kato and Lech Maligranda and Yasuji Takahashi},
title = {On {James} and {Jordan{\textendash}von} {Neumann} constants and
the normal structure coefficient of {Banach} spaces},
journal = {Studia Mathematica},
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language = {fr},
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AU - Mikio Kato
AU - Lech Maligranda
AU - Yasuji Takahashi
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the normal structure coefficient of Banach spaces
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the normal structure coefficient of Banach spaces
%J Studia Mathematica
%D 2001
%P 275-295
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Mikio Kato; Lech Maligranda; Yasuji Takahashi. On James and Jordan–von Neumann constants and
the normal structure coefficient of Banach spaces. Studia Mathematica, Tome 144 (2001) no. 3, pp. 275-295. doi: 10.4064/sm144-3-5
