Displaying similar documents to “Fréchet spaces with quotients failing the bounded approximation property”

A normability condition on locally convex spaces.

S. Önal, T. Terzioglu (1991)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989).

Structure theory of power series spaces of infinite type.

Dietmar Vogt (2003)

RACSAM

Similarity:

The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.