2-normed Algebras-I
A coincidence point theorem for multivalued mappings in 2-Menger spaces.
A generalized mixed topology on Orlicz spaces.
A note on the paper “Characterizations on 2-isometries”.
A Riesz representation theory for completely regular Hausdorff spaces and its applications
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E) be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β. We develop the Riemman-Stieltjes-type Integral representation theory of (β, || · ||F) -continuous operators T : Cb(X, E) → F with respect to the representing Borel operator measures. For X being a k-space, we characterize strongly bounded (β, || · ||F)-continuous operators T : Cb(X, E) → F. As an application, we...
*-autonomous categories: Once more around the track.
Double sequence spaces over -normed spaces
In this paper, we define some classes of double sequences over -normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Dunford-Pettis operators on the space of Bochner integrable functions
Let (Ω,Σ,μ) be a finite measure space and let X be a real Banach space. Let be the Orlicz-Bochner space defined by a Young function Φ. We study the relationships between Dunford-Pettis operators T from L¹(X) to a Banach space Y and the compactness properties of the operators T restricted to . In particular, it is shown that if X is a reflexive Banach space, then a bounded linear operator T:L¹(X) → Y is Dunford-Pettis if and only if T restricted to is -compact.
Equivalence relations of -norms on a vector space
FK-espaces contenant c0 en analyse non-archimédienne.
Generalized precompactness and mixed topologies.
The equicontinuous sets of locally convex generalized inducted limit (or mixed) topologies are characterized as generalized precompact sets. Uniformly pre-Lebesgue and Lebesgue topologies in normed Riesz spaces are investigated and it is shown that order precompactness and mixed topologies can be used to great advantage in the study of these topologies.
Generalized vector-valued sequence spaces defined by modulus functions.
Involutions with fixed points in 2-Banach spaces.
On 2-strong homomorphisms and 2-normed hypersets in hypervector spaces.
On complete Saks spaces
On I-convergence of double sequences in the topology induced by random 2-norms
On -normed spaces.
On -norms and bounded -linear functionals in a Hilbert space.
On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function.
Orthogonally additive functionals on
In this paper we give a representation theorem for the orthogonally additive functionals on the space in terms of a non-linear integral of the Henstock-Kurzweil-Stieltjes type.