On the weak uniform rotundity of Banach spaces
We prove that if Xi,i=1,2,…, are Banach spaces that are weak* uniformly rotund, then their lp product space (p>1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203206359 |
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| _version_ | 1849307205094866944 |
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| author | Wen D. Chang Ping Chang |
| author_facet | Wen D. Chang Ping Chang |
| author_sort | Wen D. Chang |
| collection | DOAJ |
| description | We prove that if Xi,i=1,2,…, are Banach spaces that are weak* uniformly rotund, then their lp product space (p>1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively. |
| format | Article |
| id | doaj-art-1c643be9965e4328a6851e24ad6fb8ba |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1c643be9965e4328a6851e24ad6fb8ba2025-08-20T03:54:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003301943194510.1155/S0161171203206359On the weak uniform rotundity of Banach spacesWen D. Chang0Ping Chang1Department of Mathematics and Computer Science, Alabama State University, Montgomery 36104, AL, USASingapore Air Accounting Center in Beijing, Beijing, ChinaWe prove that if Xi,i=1,2,…, are Banach spaces that are weak* uniformly rotund, then their lp product space (p>1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.http://dx.doi.org/10.1155/S0161171203206359 |
| spellingShingle | Wen D. Chang Ping Chang On the weak uniform rotundity of Banach spaces International Journal of Mathematics and Mathematical Sciences |
| title | On the weak uniform rotundity of Banach spaces |
| title_full | On the weak uniform rotundity of Banach spaces |
| title_fullStr | On the weak uniform rotundity of Banach spaces |
| title_full_unstemmed | On the weak uniform rotundity of Banach spaces |
| title_short | On the weak uniform rotundity of Banach spaces |
| title_sort | on the weak uniform rotundity of banach spaces |
| url | http://dx.doi.org/10.1155/S0161171203206359 |
| work_keys_str_mv | AT wendchang ontheweakuniformrotundityofbanachspaces AT pingchang ontheweakuniformrotundityofbanachspaces |