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

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.