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On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces |
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| Authors: | Lech Maligranda Narin Petrot |
| Institution: | a Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden b Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand c Department of Mathematics, Faculty of Science, Chiangmai University, Chiang Mai, Thailand |
| Abstract: | 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  is calculated. |
| Keywords: | Cesà ro sequence spaces Finite dimensional Cesà ro spaces Cesà ro-Orlicz sequence spaces James constant Uniform non-squareness B-convexity |
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