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On the James constant and B-convexity of Cesàro and Cesàro–Orlicz sequence spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok.
Department of Mathematics, Faculty of Science, Chiangmai University, Chiang Mai.
2007 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 326, no 1, 312-331 p.Article in journal (Refereed) Published
Abstract [en]

The classical James constant and the nth James constants, which are measure of B-convexity for the Cesàro sequence spaces cesp and the Cesàro–Orlicz sequence spaces cesM, are calculated. These investigations show that cesp, cesM are not uniformly non-square and even they are not B-convex. Therefore the classical Cesàro sequence spaces cesp are natural examples of reflexive spaces which are not B-convex. Moreover, the James constant for the two-dimensional Cesàro space ces₂(²) is calculated.

Place, publisher, year, edition, pages
2007. Vol. 326, no 1, 312-331 p.
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URN: urn:nbn:se:ltu:diva-14716DOI: 10.1016/j.jmaa.2006.02.085Local ID: e23054c0-7a67-11db-8824-000ea68e967bOAI: diva2:987689
Validerad; 2007; 20061122 (ysko)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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