The Application Domain of Infinite Matrices on Classical Sequence Spaces

TL;DR

This paper introduces new infinite matrix-based sequence spaces, explores their properties, duals, and provides examples, advancing the understanding of their structure and applications.

Contribution

It defines new sequence spaces derived from infinite matrices, analyzes their topological properties, dual spaces, and offers illustrative examples.

Findings

New sequence spaces are characterized and their duals computed.

Topological and structural properties of the new spaces are established.

Examples demonstrate the applicability of the new spaces.

Abstract

The purpose of this paper is twofold. First, we define the new spaces and investigate some topological and structural properties. Also, we compute dual spaces of new spaces which are help us in the characterization of matrix mappings. Second, we give some examples related to new spaces.