On some expressions for the Riesz angles of Orlicz sequence spaces.
On Some Extremal Problems in Banach Spaces.
On Some Fixed Point Principles for Cones in Linear Normed Spaces.
On some fractional order Hardy inequalities.
On some functions that map each generator of a -semigroup into the generator of a holomorphic semigroup.
On some general notions of superior limit, inferior limit and value of a distribution at a point.
On some generalization of the t-transformation
Using the Nevanlinna representation of the reciprocal of the Cauchy transform of probability measures, we introduce a two-parameter transformation of probability measures on the real line ℝ, which is another possible generalization of the t-transformation. Using that deformation we define a new convolution by deformation of the free convolution. The central limit measure with respect to the -deformed free convolutions is still a Kesten measure, but the Poisson limit depends on the two parameters...
On some generalized -difference Riesz sequence spaces and uniform Opial property.
On some geometric constants and the fixed point property for multivalued nonexpansive mappings.
On some geometric properties concerning closed convex sets.
In this article, we consider the (weak) drop property, weak property (a), and property (w) for closed convex sets. Here we give some relations between those properties. Particularly, we prove that C has (weak) property (a) if and only if the subdifferential mapping of Cº is (n-n) (respectively, (n-w)) upper semicontinuous and (weak) compact valued. This gives an extension of a theorem of Giles and the first author.
On some geometric properties in C(K,X) and C(K,X)*.
On some geometric properties of certain Köthe sequence spaces
It is proved that if a Kothe sequence space is monotone complete and has the weakly convergent sequence coefficient WCS, then is order continuous. It is shown that a weakly sequentially complete Kothe sequence space is compactly locally uniformly rotund if and only if the norm in is equi-absolutely continuous. The dual of the product space of a sequence of Banach spaces , which is built by using an Orlicz function satisfying the -condition, is computed isometrically (i.e. the exact...
On some geometrical properties of generalized modular spaces of Cesàro type defined by weighted means. (On some geometrical properties of generalized modular spaces of Cesáro type defined by weighted means.)
On some global and local geometric properties of Calderón-Lozanovskiĭ spaces
Criteria for full k-rotundity (k ∈ ℕ, k ≥ 2) and uniform rotundity in every direction of Calderón-Lozanovskiĭ spaces are formulated. A characterization of -points in these spaces is also given.
On some inequalities in normed algebras.
On some isomorphism on the category of -spaces.
On some local geometry of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
Criteria for strong U-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund points and locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Luxemburg norm are given.
On some matrix Inequalities in Banach Spaces
On some mean oscillation inequalities for martingales.
On some neutrix products of distributions.