Vector-Valued FK-Spaces Defined by a Modulus Function and an Infinite Matrix

Murat Candan

Abstract

The present paper is devoted to studying on the sequence space λ(A,Xk, r, f, s) defined by a modulus function f and an infinite matrix A and constructed its  FK-structure under some conditions. Finally, we exposed some inclusion relations among the variations of the space. The vector-valued sequence space λ(A,Xk, r, f, s) as a paranormed space which is a most general form of the space investigated in [1].