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On n-th James and Khintchine constants of Banach spaces
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
Department of Mathematics, Sofia University.
Department of Mathematics, University of Athens, Panepistimiopolis.
2008 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 11, no 1, p. 1-22Article in journal (Refereed) Published
Abstract [en]

For any Banach space X the n-th James constants J(n)(X) and the n-th Khintchine constants K-p,q(n)(X) are investigated and discussed. Some new properties of these constants are presented. The main result is an estimate of the n-th Khintchine constants K-p,q(n)(X) by the n-th James constants Jn (X). In the case of n = 2 and p = q = 2 this estimate is even stronger and improvs an earlier estimate proved by Kato-Maligranda-Takahashi

Place, publisher, year, edition, pages
2008. Vol. 11, no 1, p. 1-22
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5759Local ID: 3f0e7ec0-fee6-11dc-8b65-000ea68e967bOAI: oai:DiVA.org:ltu-5759DiVA: diva2:978634
Note
Validerad; 2008; 20080331 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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