| Título: | On the set of bounded linear operators transforming a certain sequence of a Hilbert space into an absolutely summable one |
| Autores: | Martín Peinador, Elena |
| Tipo de documento: | texto impreso |
| Editorial: | North-Holland, 1980 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Sección de libro |
| Resumen: | From the text: "Let H be a real, separable Hilbert space, B the set of bounded linear operators on H, and S={an:n?N} a fixed sequence in H; we set CS={A?B:??n=1||Aan||}. Obviously CS?{0}, and it is easy to check that CS is a left ideal. Theorem 1: Let S={an:n?N} be summable. Then CS contains a noncompletely continuous operator. Theorem 2: Let S={an:n?N} be such that ??n=1||an|||=?; then there exists a completely continuous operator C not belonging to CS.'' |
| En línea: | https://eprints.ucm.es/id/eprint/22371/2/MPeinador120.pdf |
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