Statistical linear spaces. I. Properties of , -topology
Statistical linear spaces. II. Strongest -norm
Strong reflexivity of Abelian groups
A reflexive topological group is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
Structure theory of function spaces
Structures vectorielles et affines floues. Convexité
Subspaces of smooth sequence spaces
Sur les espaces de Musielak-Orlicz non localement convexes intransitifs
The concept of boundedness and the Bohr compactification of a MAP Abelian group
Let G be a maximally almost periodic (MAP) Abelian group and let ℬ be a boundedness on G in the sense of Vilenkin. We study the relations between ℬ and the Bohr topology of G for some well known groups with boundedness (G,ℬ). As an application, we prove that the Bohr topology of a topological group which is topologically isomorphic to the direct product of a locally convex space and an -group, contains “many” discrete C-embedded subsets which are C*-embedded in their Bohr compactification. This...
The Gruenhage property, property *, fragmentability, and σ-isolated networks in generalized ordered spaces
We examine the Gruenhage property, property * (introduced by Orihuela, Smith, and Troyanski), fragmentability, and the existence of σ-isolated networks in the context of linearly ordered topological spaces (LOTS), generalized ordered spaces (GO-spaces), and monotonically normal spaces. We show that any monotonically normal space with property * or with a σ-isolated network must be hereditarily paracompact, so that property * and the Gruenhage property are equivalent in monotonically normal spaces....
The Taylor spectrum and quotient Banach spaces
Topological semivector spaces: convexity and fixed point theory.
Über einen Graphensatz für lineare Abbildungen mit metrisierbarem Zielraum.
Une démonstration géométrique du théorème de Choquet-Kendall
Unique reducibility of subsets of commutative topological groups and semigroups.
Vervollständigung streng ausgeglichener Limesvektorräume I.
Vervollständigung streng ausgeglichener Limesvektorräume II.
Verwandte Operatoren.
-approximation in generalized 2-normed spaces
Достаточные признаки выпуклости
О равностепенной непрерывности представлений групп.