On non-symmetric modular spaces

Some result on modular hyperconvex spaces

Generalized Symmetric Berwald Spaces

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

some result on modular hyperconvex spaces

On Fuzzy Modular Spaces

A modular space Xρ is defined by a corresponding modular ρ, that is,Xρ = {x ∈ X : ρ(λx) → 0 as λ → 0}. Based on definition of the modular space, Kozłowski [3, 4] introduced the notion ofmodular function space. In the sequel, Kozłowski and Lewicki [5] considered the problem of analytic extension of measurable functions in modular function spaces and discussed some extension properties by means o...

Extremely Non-symmetric, Non-multiplicative, Non-commutative Operator Spaces

Motivated by importance of operator spaces contained in the set of all scalar multiples of isometries (MI-spaces) in a separable Hilbert space for C∗-algebras and Esemigroups we exhibit more properties of such spaces. For example, if an MI-space contains an isometry with shift part of finite multiplicity, then it is one-dimensional. We propose a simple model of a unilateral shift of arbitrary m...