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On James, Jordan - von Neumann constants and the normal structure coefficient of Banach spaces
2000 (English)Report (Other academic)
Abstract [en]

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
LuleƄ, 2000.
Series
Gula serien, ISSN 1400-4003 ; 6
National Category
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-62230OAI: oai:DiVA.org:ltu-62230DiVA: diva2:1077827
Available from: 2017-03-01 Created: 2017-03-01 Last updated: 2017-03-01Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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  • asciidoc
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