Seema Jamwal

Applications of statistical convergence to n-normed spaces

Abstract In the present paper we introduce some applications of I-statistical convergence to form some new spaces of sequences using a sequence of Orlicz functions and matrix transformation over n-normed spaces. We also make an effort to study several properties relevant to the topological and algebraic structure of these spaces. We investigate some inclusion relations involving these spaces.

Composition Operators on Cesàro Function Spaces

The compact, invertible, Fredholm, and closed range composition operators are characterized. We also make an effort to compute the essential norm of composition operators on the Cesaro function spaces.

Multiplication and Composition operators on ωp (f )

In this paper we characterize the boundedness, closed range, in-vertibility of the multiplication operators acting on sequence spaces wp(f) defined by a modulus function. We also make an efforts to study some properties of composition operators on these spaces.