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.