Full paper in PDF:
$%A. Defant, P. Domański, and M. Mastyło, Extension and splitting theorems for Fréchet spaces of
type 2, Rev. Mat. Complut. 12 (1999), no. 2, 325–337.%$
FE Mathematik Carl von Ossietzky Universität Amerländer Heerstraße 114-118 D-26111 Oldenburg — Germany | Institute of Mathematics (Poznań branch) Polish Academy of Sciences ul. Matejki 48/49 60-769 Poznań — Poland |
ABSTRACT
We prove the following common generalization of Maurey’s extension theorem and Vogt’s (DN)-() splitting theorem for Fréchet spaces: if is an operator from a subspace of a Fréchet space of type 2 to a Fréchet space of dual type 2, then extends to a map from into whenever satisfies (DN) and F satisfies ().
2000 Mathematics Subject Classification: primary 46A04, 46A22; secondary 46B70.