GENERALIZED KOTHE-TOEPLITZ DUALS OF A NEW CLASS OF SEQUENCE SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2025.2103.9
Author :
Mohd Javed (Department of Mathematics, Shibli National College, Azamgarh - 276001, Uttar Pradesh, INDIA)
Seraj Ahemed Khan (Department of Mathematics, Shibli National College, Azamgarh - 276001, Uttar Pradesh, INDIA)

Abstract

In this paper, we determine the $p\alpha$-duals of certain newly introduced difference sequence spaces, namely $\ell_{\infty}(u,\triangle_{v}^{m},q), c_{0}(u,\triangle_{v}^{m},q),$ and $c(u,\triangle_{v}^{m},q)$. Furthermore, we investigate their topological properties and establish the conditions under which these spaces are perfect.

Keywords and Phrases

Sequence spaces, Köthe Toeplitz duals, $\alpha$-duals, $\eta$-duals.

A.M.S. subject classification

46A45, 46B10, 46B45.

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