Extension and splitting theorems for Fréchet spaces of type 2.

Defant, A., Domanski, P., and Mastylo, M.. "Extension and splitting theorems for Fréchet spaces of type 2.." Revista Matemática Complutense 12.2 (1999): 325-337. <http://eudml.org/doc/44415>.

@article{Defant1999,
abstract = {We prove the following common generalization of Maurey's extension theorem and Vogt's (DN)-(Omega) splitting theorem for Fréchet spaces: if T is an operator from a subspace E of a Fréchet space G of type 2 to a Fréchet space F of dual type 2, then T extends to a map from G into F'' whenever G/E satisfies (DN) and F satisfies (Omega).},
author = {Defant, A., Domanski, P., Mastylo, M.},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Banach; Espacios de Frechet; Seminormas; splitting theorem; Fréchet spaces; type and cotype; hilbertizable space; projective limit of Hilbert spaces; property ; hilbertizable Fréchet subspace},
language = {eng},
number = {2},
pages = {325-337},
title = {Extension and splitting theorems for Fréchet spaces of type 2.},
url = {http://eudml.org/doc/44415},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Defant, A.
AU - Domanski, P.
AU - Mastylo, M.
TI - Extension and splitting theorems for Fréchet spaces of type 2.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 2
SP - 325
EP - 337
AB - We prove the following common generalization of Maurey's extension theorem and Vogt's (DN)-(Omega) splitting theorem for Fréchet spaces: if T is an operator from a subspace E of a Fréchet space G of type 2 to a Fréchet space F of dual type 2, then T extends to a map from G into F'' whenever G/E satisfies (DN) and F satisfies (Omega).
LA - eng
KW - Espacios de Banach; Espacios de Frechet; Seminormas; splitting theorem; Fréchet spaces; type and cotype; hilbertizable space; projective limit of Hilbert spaces; property ; hilbertizable Fréchet subspace
UR - http://eudml.org/doc/44415
ER -