# Bounded linear maps between (LF)-spaces.

RACSAM (2003)

- Volume: 97, Issue: 1, page 13-31
- ISSN: 1578-7303

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topAlbanese, 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 -

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