Sufficient conditions for normal structure in a Banach space
We present two sufficient conditions for normal structure in a Banach space. The first one is given in terms of the new modulus which is a generalization of Gao’s modulus of U-convexity and the second one is given by the presence of full 2-rotundity of the dual space and the WORTH property.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X1200079X |
| _version_ | 1828384354768781312 |
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| author | Satit Saejung Ji Gao |
| author_facet | Satit Saejung Ji Gao |
| author_sort | Satit Saejung |
| collection | DOAJ |
| description | We present two sufficient conditions for normal structure in a Banach space. The first one is given in terms of the new modulus which is a generalization of Gao’s modulus of U-convexity and the second one is given by the presence of full 2-rotundity of the dual space and the WORTH property. |
| first_indexed | 2024-12-10T05:02:31Z |
| format | Article |
| id | doaj.art-f9676c98a1f7441eb41d213064ef324d |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-10T05:02:31Z |
| publishDate | 2013-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-f9676c98a1f7441eb41d213064ef324d2022-12-22T02:01:21ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-07-01212919610.1016/j.joems.2012.12.003Sufficient conditions for normal structure in a Banach spaceSatit Saejung0Ji Gao1Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Community College of Philadelphia, Philadelphia, PA 19130-3991, USAWe present two sufficient conditions for normal structure in a Banach space. The first one is given in terms of the new modulus which is a generalization of Gao’s modulus of U-convexity and the second one is given by the presence of full 2-rotundity of the dual space and the WORTH property.http://www.sciencedirect.com/science/article/pii/S1110256X1200079X46B2047H1037C2554H25 |
| spellingShingle | Satit Saejung Ji Gao Sufficient conditions for normal structure in a Banach space Journal of the Egyptian Mathematical Society 46B20 47H10 37C25 54H25 |
| title | Sufficient conditions for normal structure in a Banach space |
| title_full | Sufficient conditions for normal structure in a Banach space |
| title_fullStr | Sufficient conditions for normal structure in a Banach space |
| title_full_unstemmed | Sufficient conditions for normal structure in a Banach space |
| title_short | Sufficient conditions for normal structure in a Banach space |
| title_sort | sufficient conditions for normal structure in a banach space |
| topic | 46B20 47H10 37C25 54H25 |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X1200079X |
| work_keys_str_mv | AT satitsaejung sufficientconditionsfornormalstructureinabanachspace AT jigao sufficientconditionsfornormalstructureinabanachspace |