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...
محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | دورية |
| منشور في: |
2018
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33750608989&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61219 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| المؤسسة: | Chiang Mai University |
| id |
th-cmuir.6653943832-61219 |
|---|---|
| record_format |
dspace |
| 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 |