Fréchet spaces with quotients failing the bounded approximation property

Ed Dubinsky; Dietmar Vogt

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

Nuclear Fréchet spaces without the bounded approximation property

Ed Dubinsky (1981)

Studia Mathematica

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Characterization of nuclear Fréchet spaces in which every bounded set is polar

Seán Dineen, Reinhold Meise, Dietmar Vogt (1984)

Bulletin de la Société Mathématique de France

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Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis

Jörg Krone, Volker Walldorf (1998)

Studia Mathematica

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The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.

A normability condition on locally convex spaces.

S. Önal, T. Terzioglu (1991)

Revista Matemática de la Universidad Complutense de Madrid

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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

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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.