On the order-topological properties of the quotient space
On the o-Spectrum of Order Bounded Operators.
On the Permanence of the Hahn-Banach Property in Bornology
On the quasinormability of Hb (U).
On the quasi-weak drop property
A new drop property, the quasi-weak drop property, is introduced. Using streaming sequences introduced by Rolewicz, a characterisation of the quasi-weak drop property is given for closed bounded convex sets in a Fréchet space. From this, it is shown that the quasi-weak drop property is equivalent to weak compactness. Thus a Fréchet space is reflexive if and only if every closed bounded convex set in the space has the quasi-weak drop property.
On the radius of convergence of an entire function in a normed space
On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
On the Representation of Banach Lattices by Continuous Numerical Functions.
On the representation of Orlicz lattices
On the representation of uncountable symmetric basic sets and its applications
It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.
On the Schröder-Bernstein problem for Carathéodory vector lattices
In this note we prove that there exists a Carathéodory vector lattice such that and . This yields that is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.
On the separation of closed, convex sets
On the sequential order continuity of the -space.
On the sets of sequences that are strongly -bounded and -convergent to naught with index .
On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.
We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
On the Space C(X,E) with the Topology of Simple Convergence.
On the space of -summable sequences
On the splitting of twisted sums, and the three space problem for local convexity
On the strict convexity of the polar operator
On the strong lacunary convergence and strong Cesàro summability of sequences of real-valued functions.