Bounded linear maps between (LF)-spaces.

Albanese, Angela A.. "Bounded linear maps between (LF)-spaces.." RACSAM 97.1 (2003): 13-31. <http://eudml.org/doc/40952>.

@article{Albanese2003,
abstract = {Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.},
author = {Albanese, Angela A.},
journal = {RACSAM},
keywords = {Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacio de tipo (LF); Espacio de sucesiones; Operadores lineales; Operadores acotados; bounded linear maps; (LF)-spaces; Köthe sequence spaces},
language = {eng},
number = {1},
pages = {13-31},
title = {Bounded linear maps between (LF)-spaces.},
url = {http://eudml.org/doc/40952},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Albanese, Angela A.
TI - Bounded linear maps between (LF)-spaces.
JO - RACSAM
PY - 2003
VL - 97
IS - 1
SP - 13
EP - 31
AB - Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.
LA - eng
KW - Espacios lineales topológicos; Espacios localmente convexos; Espacios de Fréchet; Espacio de tipo (LF); Espacio de sucesiones; Operadores lineales; Operadores acotados; bounded linear maps; (LF)-spaces; Köthe sequence spaces
UR - http://eudml.org/doc/40952
ER -