Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces
We show that in a super-reflexive Banach space, the conditionality constants kN(β) of a quasi-greedy basis β grow at most like O((logN) for some This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in L<inf>p</inf> fo...
| Autores: | , , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6816b750603269e80239 |
| Acesso em linha: | https://investigacion.unirioja.es/documentos/5bbc6816b750603269e80239 |
| Access Level: | acceso abierto |
| Palavra-chave: | Conditional basis Quasi-greedy basis Reflexive space Super-reflexive space Thresholding greedy algorithm Uniform convexity Weak parallelogram inequality |
| Resumo: | We show that in a super-reflexive Banach space, the conditionality constants kN(β) of a quasi-greedy basis β grow at most like O((logN) for some This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in L<inf>p</inf> for 1 We also give an example of a quasi-greedy basis β in a reflexive Banach space with kN(β) ≈ logN. © 2015 Instytut Matematyczny PAN. |
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