Dominated operators on C[0, 1] and the (CRP)

Autores: Giovanni Emmanuele
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 1, 1990, págs. 21-25
Idioma: inglés
Títulos paralelos:
- Operadores dominados sobre C[0, 1] y la propiedad de rango compacto
Enlaces
- Texto completo
Resumen
- We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).