STRICT CONVEXITY THROUGH EQUIVALENT NORMS IN SEPARABLES BANACH SPACES
Let E be a separable Banach space with norm || . ||. In the present work, the objective is to construct a norm || . ||1 that is equivalent to || . || in E, such that || . ||1 is strictly convex. In addition it is shown that its dual conjugate norm is also strictly convex.
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2016-12-01
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| Series: | Selecciones Matemáticas |
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| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1256/1166 |