Orlicz spaces cannot be normed analogously to Lp-spaces

Refinements of s-Orlicz Convex Functions in Normed Linear Spaces

Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions

*Correspondence: [email protected] 2Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India Full list of author information is available at the end of the article Abstract In the present paper we introduce double sequence spacem2(M,A,φ ,p,‖·, . . . , ·‖) defined by a sequence of Orlicz functions over n-normed space. We examine some of its topological properties and estab...

SOME MULTIPLIER SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION IN n-NORMED SPACES

In the present paper we introduced some multiplier sequence spaces defined by a Musielak-Orlicz function M = (Mk) in n-normed spaces and examine some topological properties and some inclusion relation between the resulting sequence spaces.

On Some New Sequence Spaces in 2-Normed Spaces Using Ideal Convergence and an Orlicz Function

The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.

NORMED HYPERVECTOR SPACES

The main purpose of this paper is to study normed hypervector spaces. We generalize some definitions such as basis, convexity, operator norm, closed set, Cauchy sequences, and continuity in such spaces and prove some theorems about them.