Schauder Bases under Uniform Renormings |
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| Authors: | Antonio J Guirao Petr Hájek |
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| Institution: | (1) Departamento de Matemáticas, Universidad de Murcia, 30100 Espinardo (Murcia), Spain;(2) Mathematical Institute, AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic |
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| Abstract: | Let X be a separable superreflexive Banach space with a Schauder basis. We prove the existence of an equivalent uniformly smooth
(resp. uniformly rotund) renorming under which the given basis is monotone.
First author supported by the grants MTM2005-08379 of MECD (Spain), 00690/PI/04 of Fundación Séneca (CARM, Spain) and AP2003-4453
of MECD (Spain), Second author supported by AV0Z10190503 and A100190502. |
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| Keywords: | 46B03 |
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