ON I - CONVERGENT TRIPLE SEQUENCE SPACES DEFINED BY A COMPACT OPERATOR AND AN ORLICZ FUNCTION

ON I - CONVERGENT TRIPLE SEQUENCE SPACES DEFINED BY A COMPACT OPERATOR AND AN ORLICZ FUNCTION

V. A. Khan, M. I. Idrisi, M. Ahmad

[PDF]

Abstract

In this article, we introduce I convergent triple sequence spaces 3SI (M) , 3SI 0 (M); 3SI1 (M) with the help of a compact operator and an Orlicz function. We study some of their algebraic and topological properties like solidity, monotonicity, convergence free etc. Also, we prove some inclusion relations of these spaces.

Keywords

Compact operator, Orlicz function, Triple sequence, I???? convergence eld, Ideal, lter.