A characterization of the algebra of holomorphic functions on simply connected domain.
A Characterization of Totally Reflexive Fréchet Spaces.
A characterization of weighted -spaces of holomorphic functions having the dual density condition
We characterize when weighted -spaces of holomorphic functions have the dual density condition, when the weights are radial and grow logarithmically.
A compact convex set with no extreme points
A Fréchet Space Which Has a Continuous Norm But Whose Bidual Does Not.
A Hahn-Banach Theorem for Holomorphic Mappings on Locally Convex Spaces.
A local metric characterization of Banach spaces
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).
A note on a theorem of Klee
It is proved that if are separable quasi-Banach spaces, then contains a dense dual-separating subspace if either or has this property.
A note on -spaces.
A Note on Metrizable Linear Topologies Strictly Finer than a Given Metrizable Complete Linear Topology.
A note on reflexivity of projective tensor products
A Re-Examination of the Roberts Example of a Compact Convex Set Without Extreme Points.
A Result on Equicontinuous Sets of Operators on Nuclear Fréchet Spaces Related to the Bounded Approximation Property.
A rigid space admitting compact operators
A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid spaces was...
A sequential analogue of the Grothendieck-Pták topology
A Solution to a Problem of de Wilde and Tsirulnikov.
A sufficient condition of type (...) for Tame Splitting of short exact sequences of Fréchet spaces.
A tame splitting theorem for exact sequences of Fréchet spaces.
A Twisted Fréchet Space with Basis.