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

Emmanuele, G.. "Dominated operators on C[0, 1] and the (CRP).." Collectanea Mathematica 41.1 (1990): 21-25. <http://eudml.org/doc/42222>.

@article{Emmanuele1990,
abstract = {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).},
author = {Emmanuele, G.},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Operadores compactos; (CRP); dominated operator},
language = {eng},
number = {1},
pages = {21-25},
title = {Dominated operators on C[0, 1] and the (CRP).},
url = {http://eudml.org/doc/42222},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Emmanuele, G.
TI - Dominated operators on C[0, 1] and the (CRP).
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 1
SP - 21
EP - 25
AB - 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).
LA - eng
KW - Espacios de Banach; Operadores compactos; (CRP); dominated operator
UR - http://eudml.org/doc/42222
ER -