Título: | Strictly singular embeddings in L 1 +L ? |
Autores: | Sánchez de los Reyes, Víctor Manuel ; Semenov, Evgeny M. ; Hernández, Francisco L. |
Tipo de documento: | texto impreso |
Editorial: | Interperiodica, 2005 |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
Resumen: |
The paper deals with the strict singularity and the disjoint strict singularity of the canonical embedding between couples of rearrangement invariant spaces E and F. Let E c F. This embedding is called strictly singular (disjointly strictly singular) if for any infinite-dimensional subspace (any infinite-dimensional subspace generated by a sequence of disjoint functions) B of E the norms of E and F are non-equivalent on B. Denote by Lp,1 (1 0 s1/p?1 Z s 0 x(t) dt |
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