On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces

The classical James constant and the nth James constants, which are measure of B-convexity for the Cesàro sequence spaces cespand the Cesàro-Orlicz sequence spaces cesM, are calculated. These investigations show that cesp, cesMare not uniformly non-square and even they are not B-convex. Therefore th...

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Main Authors:	Lech Maligranda, Narin Petrot, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33750608989&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61219
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-61219
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spelling	th-cmuir.6653943832-612192018-09-10T04:06:55Z On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces Lech Maligranda Narin Petrot Suthep Suantai Mathematics The classical James constant and the nth James constants, which are measure of B-convexity for the Cesàro sequence spaces cespand the Cesàro-Orlicz sequence spaces cesM, are calculated. These investigations show that cesp, cesMare not uniformly non-square and even they are not B-convex. Therefore the classical Cesàro sequence spaces cespare natural examples of reflexive spaces which are not B-convex. Moreover, the James constant for the two-dimensional Cesàro space ces2(2)is calculated. © 2006 Elsevier Inc. All rights reserved. 2018-09-10T04:06:55Z 2018-09-10T04:06:55Z 2007-02-01 Journal 10960813 0022247X 2-s2.0-33750608989 10.1016/j.jmaa.2006.02.085 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33750608989&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61219
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Lech Maligranda Narin Petrot Suthep Suantai On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
description	The classical James constant and the nth James constants, which are measure of B-convexity for the Cesàro sequence spaces cespand the Cesàro-Orlicz sequence spaces cesM, are calculated. These investigations show that cesp, cesMare not uniformly non-square and even they are not B-convex. Therefore the classical Cesàro sequence spaces cespare natural examples of reflexive spaces which are not B-convex. Moreover, the James constant for the two-dimensional Cesàro space ces2(2)is calculated. © 2006 Elsevier Inc. All rights reserved.
format	Journal
author	Lech Maligranda Narin Petrot Suthep Suantai
author_facet	Lech Maligranda Narin Petrot Suthep Suantai
author_sort	Lech Maligranda
title	On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
title_short	On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
title_full	On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
title_fullStr	On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
title_full_unstemmed	On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces
title_sort	on the james constant and b-convexity of cesàro and cesàro-orlicz sequence spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33750608989&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61219
_version_	1681425579958599680

On the James constant and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces

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