On Orlicz functions of generalized difference sequence spaces.
On Pelczynski's property (V*) in vector sequence spaces.
On perfectly homogeneous bases in quasi-Banach spaces.
On polynomial classification of locally convex spaces
On polynomially semibornological locally convex spaces
On precompact multiplication operators on weighted function spaces.
On prequojections and their duals.
The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class...
On Primary Simplex Spaces.
On probabilistic normed spaces under .
On problems concerning extension of linear operations on linear spaces
On projection constant problems and the existence of metric projections in normed spaces.
On property in -spaces
On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].
On pseudonormability of some particular classes of spaces
On p-summable sequences in locally convex spaces.
On Pták's Generalization of the Open-Mapping and Closed-Graph Theorems.
On quasi almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli
On Quasibarrelled Spaces.
On quasi-completeness and sequential completeness in locally convex spaces.
On -reflexive Banach spaces
A Banach space is called -reflexive if for any cover of by weakly open sets there is a finite subfamily covering some ball of radius 1 centered at a point with . We prove that an infinite-dimensional separable Banach space is -reflexive (-reflexive for some ) if and only if each -net for has an accumulation point (resp., contains a non-trivial convergent sequence) in the weak topology of . We show that the quasireflexive James space is -reflexive for no . We do not know...