Norm-attaining polynomials and differentiability.
We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach...
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| Tipo de documento: | artigo |
| Data de publicação: | 2002 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57243 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57243 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 517.986.6 517.518.45 Banach spaces Polynomials Norm differentiability Shmul'yans's test Strongly attains its norm Fréchet differentiability Gâteaux differentiability Análisis matemático 1202 Análisis y Análisis Funcional |
| Resumo: | We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces. |
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