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• # Artykuł - szczegóły

## Studia Mathematica

2001 | 144 | 3 | 275-295

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

EN

### Abstrakty

EN
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.

275-295

wydano
2001

### Twórcy

autor
• Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan
autor
• Department of Mathematics, Luleå University of Technology, S-971 87 Luleå, Sweden
autor
• Department of System Engineering, Okayama Prefectural University, Soja 719-1197, Japan