PURE MATHEMATICS | RESEARCH ARTICLE On I-convergent sequence spaces defined by a compact operator and a modulus function

1 Abstract: In this article, we introduce and study I-convergent sequence spaces  I (f ),  I (f ), and  I (f ) with the help of compact operator T on the real space ℝ and a modu- lus function f . We study some topological and algebraic properties, and prove some inclusion relations on these spaces.