On Sohwartz Spaces.
Approximation Property of Co-Nuclear Spaces.
Symmetric bases of nuclear spaces.
Stability of smooth sequence spaces.
Diagonal operators on spaces of measurable functions
Diametral dimensions of Cartesian products, stability of smooth sequence spaces and applications.
Diagonal operators on spaces of measurable functions.
Power series spaces of finite type and related nuclearities
Subspaces of smooth sequence spaces
On certain subspaces of a nuclear power series spaces of finite type
A normability condition on locally convex spaces.
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).
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Imbedding of Power Series Spaces and Spaces of Analytic Functions.
Factorization of unbounded operators on Köthe spaces
The main result is that the existence of an unbounded continuous linear operator T between Köthe spaces λ(A) and λ(C) which factors through a third Köthe space λ(B) causes the existence of an unbounded continuous quasidiagonal operator from λ(A) into λ(C) factoring through λ(B) as a product of two continuous quasidiagonal operators. This fact is a factorized analogue of the Dragilev theorem [3, 6, 7, 2] about the quasidiagonal characterization of the relation (λ(A),λ(B)) ∈ ℬ (which means that all...
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