On some expressions for the Riesz angles of Orlicz sequence spaces.
On Some Fixed Point Principles for Cones in Linear Normed Spaces.
On some generalized -difference Riesz sequence spaces and uniform Opial property.
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 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 isomorphism on the category of -spaces.
On some new characterizations of weakly compact sets in Banach spaces
We show several characterizations of weakly compact sets in Banach spaces. Given a bounded closed convex set C of a Banach space X, the following statements are equivalent: (i) C is weakly compact; (ii) C can be affinely uniformly embedded into a reflexive Banach space; (iii) there exists an equivalent norm on X which has the w2R-property on C; (iv) there is a continuous and w*-lower semicontinuous seminorm p on the dual X* with such that p² is everywhere Fréchet differentiable in X*; and as a...
On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function.
On some new type generalized difference sequence spaces
On some nonclosed subspaces of metric linear spaces
On some Optimization Problems in Not Necessarily Locally Convex Space
On some parameters associated with normed lattices and on series characterization of M-spaces
On some problems of Choquet theory connected with potential theory
On some properties for dual spaces of Musielak-Orlicz function spaces
We will present relationships between the modular ρ* and the norm in the dual spaces in the case when a Musielak-Orlicz space is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space will be presented.
On some properties of hyperconvex spaces.
On some seminormed sequence spaces defined by a modulus function
On Some Spaces Of Analytic Functions And Their Duality Relations.
On some spaces of summable sequences and their duals.
On some topological properties of generalized difference sequence spaces.