Normal Structure and Some Inequalities of Geometric Parameters in Banach Space X and X∗
Let X and X∗ be a Banach space and its dual, respectively. In this paper, we study the relations between modulus of W1X∗ε and modulus ζX∗ε in X∗ and normal structure in X, respectively. Among other results, we proved either W1X∗ε<ε/2, for any 0≤ε≤2, or ζX∗ε<1+ε, for any 0≤ε≤1, implies both X a...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/7543844 |