Título inglés |
Uncomplemented copies of C(K) inside C(K). |
Título español |
Copias incomplementadas de C(K) dentro de C(K). |
Autor/es |
Arranz, Francisco |
Organización |
Dep. Mat. Univ. Extremadura, Badajoz, España |
Revista |
0213-8743 |
Publicación |
1996, 11 (3): 412-413, 6 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Throughout this note, whenever K is a compact space C(K) denotes the Banach space of continuous functions on K endowed with the sup norm. Though it is well known that every infinite dimensional Banach space contains uncomplemented subspaces, things may be different when only C(K) spaces are considered. For instance, every copy of l∞ = C(BN) is complemented wherever it is found. In [5] Pelzcynski found: Theorem 1. Let K be a compact metric space. If a separable Banach space X contains a subspace Y isomorphic to C(K) then Y contains a new subspace Z isomorphic to C(K) and complemented in X. Our aim is to obtain the uncomplemented version of Pelczynski's Theorem 1. |
Clasificación UNESCO |
120203 |
Palabras clave español |
Espacios de Banach ; Espacio de funciones continuas ; Funciones continuas ; Subespacios K complementados |
Código MathReviews |
MR1456537 |
Código Z-Math |
Zbl 0899.46006 |
Acceso al artículo completo |