Extension and splitting theorems for Fréchet spaces of type 2.
Defant, A. ; Domanski, P. ; Mastylo, M.
Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999), p. 325-337 / Harvested from Biblioteca Digital de Matemáticas
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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).

Publié le : 1999-01-01
DMLE-ID : 877 
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     title = {Extension and splitting theorems for Fr\'echet spaces of type 2.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {12},
     year = {1999},
     pages = {325-337},
     zbl = {0962.46005},
     mrnumber = {MR1740463},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44415}
}

Defant, A.; Domanski, P.; Mastylo, M. Extension and splitting theorems for Fréchet spaces of type 2.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 325-337. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44415/