A novel paranormed sequence space derived by Schröder conservative matrix

M.C. Dağlı

doi:10.15330/cmp.17.1.235-245

A novel paranormed sequence space derived by Schröder conservative matrix

Authors

M.C. Dağlı Akdeniz University, 07058, Antalya, Türkiye https://orcid.org/0000-0003-2859-902X

https://doi.org/10.15330/cmp.17.1.235-245

Keywords:

Schröder number, paranormed sequence space, conservative matrix, $\alpha\text{-},$ $\beta\text{-},$ $\gamma$-duals

Published online: 2025-06-22

Abstract

In this paper, we offer a new paranormed sequence space $\ell(\tilde{S},p)$ by utilizing the Schröder conservative matrix and show that this new space is linearly isomorphic to $\ell(p).$ Moreover, we give its Schauder basis and determine some special duals such as $\alpha$-, $\beta$-, $\gamma$-duals.