Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence

Abstract

The aim of this paper is to give the sufficient conditions on the sequence space $\text{C}\text{e}\text{s}\left(\theta ,p\right)$ defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear operators in $\text{C}\text{e}\text{s}\left(\theta ,p\right)$ form an operator ideal.