Abstract
In this paper, we extend the concept of ideal convergence of sequences in metric spaces. Recently, the concept of ideal convergent double sequence spaces defined by a compact operator. Motivated by this, we introduce some ideal convergent double sequence spaces with the help of compact operator T on the real space R and a bounded double sequence p = (p(ij)) of positive real numbers. We examine some basic properties and prove some inclusions relations on these new defined sequence spaces. (C) 2019 The Authors. Published by IASE.