Quasicomplemented Subspaces of Banach Spaces and Separable Quotients
We present a result which generalizes the theorems of Gurariy-Kadets and Lindenstrauss-Rosenthal on quasicomplemented subspaces of Banach spaces. We also provide a solution in wide classes of Banach spaces of a problem posed by Ivan Singer concerning the existence of a w*-basic sequence in the dual...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/104469 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/104469 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach space Quasicomplemented subspace Separable quotient w*-basic sequence Countable union of operator ranges Análisis funcional y teoría de operadores 1202 Análisis y Análisis Funcional |
| Sumario: | We present a result which generalizes the theorems of Gurariy-Kadets and Lindenstrauss-Rosenthal on quasicomplemented subspaces of Banach spaces. We also provide a solution in wide classes of Banach spaces of a problem posed by Ivan Singer concerning the existence of a w*-basic sequence in the dual of a Banach space which is biorthogonal to a given basic sequence (or more generally, a given minimal sequence) in that space, and other related problems. |
|---|