A normability condition on locally convex spaces.

Önal, S., and Terzioglu, T.. "A normability condition on locally convex spaces.." Revista Matemática de la Universidad Complutense de Madrid 4.1 (1991): 55-63. <http://eudml.org/doc/44294>.

@article{Önal1991,
abstract = {In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989). },
author = {Önal, S., Terzioglu, T.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacios localmente convexos; Espacios de Frechet; Espacios de Köthe; Espacio cociente; Operadores lineales; boundedness condition (b); prequojection; property (y); Fréchet space; countably normed; Komura space; bounded approximation property; openness condition of Nachbin},
language = {eng},
number = {1},
pages = {55-63},
title = {A normability condition on locally convex spaces.},
url = {http://eudml.org/doc/44294},
volume = {4},
year = {1991},
}

TY - JOUR
AU - Önal, S.
AU - Terzioglu, T.
TI - A normability condition on locally convex spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1991
VL - 4
IS - 1
SP - 55
EP - 63
AB - In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989).
LA - eng
KW - Espacios localmente convexos; Espacios de Frechet; Espacios de Köthe; Espacio cociente; Operadores lineales; boundedness condition (b); prequojection; property (y); Fréchet space; countably normed; Komura space; bounded approximation property; openness condition of Nachbin
UR - http://eudml.org/doc/44294
ER -