Some structural properties of vector valued -function sequence space

4th International Conference on Operational Research

Gultom, S.N.R.^1 ; Herawati, E.^1

Department of Mathematics, University of Sumatera Utara, Indonesia^1

关键词: Function sequence;    Inclusion relation;    Orlicz functions;    Sequence space;    Topological properties;    Vector valued;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012071/pdf
DOI  :  10.1088/1757-899X/300/1/012071

来源: IOP

【 摘 要 】

The sequence space W(M), where M is an Orlicz function was introduced by Parashar and Choudhary [1] and Maddox [2]. Let f be λ-function and X be a Banach space. In this work, we introduce vector valued sequence space defined by f, denoted by W(X, f). We study some topological properties and inclusion relations of this space.