On the dual spaces for weighted altered Ces\`aro and Copson spaces

TL;DR

This paper characterizes the dual spaces of weighted altered Cesàro and Copson spaces, which are non-ideal enlargements of classical function spaces, providing a comprehensive understanding of their duality properties.

Contribution

It offers a complete characterization of the dual spaces for weighted altered Cesàro and Copson spaces, advancing the theoretical understanding of these non-ideal spaces.

Findings

Full dual space descriptions for weighted altered Cesàro spaces

Full dual space descriptions for weighted altered Copson spaces

Enhanced understanding of the structure of non-ideal function spaces

Abstract

We study weighted altered Ces\`aro and Copson spaces, which is non-ideal enlargement of the usual spaces. We give full characterization of dual spaces for the spaces.