On James, Jordan - von Neumann constants and the normal structure coefficient of Banach spaces
2000 (English)Report (Other academic)
Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant CNJ(X), and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) nad J(X*) are given as an answer to a problem of Gao and Lau[16). Connections between CNJ(X) and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by CNJ(X) constant, which implies that a Banach space with CNJ(X)-constant less than 5/4 has the fixed point property.
Place, publisher, year, edition, pages
Gula serien, ISSN 1400-4003 ; 6
IdentifiersURN: urn:nbn:se:ltu:diva-62230OAI: oai:DiVA.org:ltu-62230DiVA: diva2:1077827