On bijective isometries
On holomorphic Hahn-Banach extension theorem and properties of bounding and weakly-bounding sets in some metric vector spaces
On integrability in F-spaces
Some usual and unusual properties of the Riemann integral for functions x : [a,b] → X where X is an F-space are investigated. In particular, a continuous integrable -valued function (0 < p < 1) with non-differentiable integral function is constructed. For some class of quasi-Banach spaces X it is proved that the set of all X-valued functions with zero derivative is dense in the space of all continuous functions, and for any two continuous functions x and y there is a sequence of differentiable...
On isomorphisms of some Köthe function F-spaces
We prove that if Köthe F-spaces X and Y on finite atomless measure spaces (ΩX; ΣX, µX) and (ΩY; ΣY; µY), respectively, with absolute continuous norms are isomorphic and have the property (for µ = µX and µ = µY, respectively) then the measure spaces (ΩX; ΣX; µX) and (ΩY; ΣY; µY) are isomorphic, up to some positive multiples. This theorem extends a result of A. Plichko and M. Popov concerning isomorphic classification of L p(µ)-spaces for 0 < p < 1. We also provide a new class of F-spaces...
On linearly topologized spaces and real-compact spaces
On linearly topologized spaces and real-compact spaces - II
On locally bounded spaces and their products
On Mackey topology for groups
The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in the framework...
On Maps which Preserve Equality of Distance in F*-spaces
We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.
On non locally p-convex spaces
On perfectly homogeneous bases in quasi-Banach spaces.
On precompact multiplication operators on weighted function spaces.
On property in -spaces
On pseudonormability of some particular classes of spaces
On separable Banach spaces containing all separable reflexive Banach spaces
On some nonclosed subspaces of metric linear spaces
On some Optimization Problems in Not Necessarily Locally Convex Space
On suprema of metrizable vector topologies with trivial dual
On the splitting of twisted sums, and the three space problem for local convexity
On the structure of the dual complexity space: The general case.