Matrix summability methods and weakly unconditionally Cauchy series.
We study new sequence spaces determined by series in normed spaces and a matrix summability method, giving new characterizations of weakly unconditionally Cauchy series. We obtain characterizations for the completeness of a normed space, and a version of the Orlicz-Pettis theorem via matrix summabil...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2009 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/43665 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/43665 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.98 Matrix summability Weakly unconditionally Cauchy series Orlicz-Pettis theorem Análisis funcional y teoría de operadores |
| Resumo: | We study new sequence spaces determined by series in normed spaces and a matrix summability method, giving new characterizations of weakly unconditionally Cauchy series. We obtain characterizations for the completeness of a normed space, and a version of the Orlicz-Pettis theorem via matrix summability methods is also proved. |
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