On multipliers of matrix domains

Gholamreza Talebi

doi:10.1186/s13660-018-1887-4

On multipliers of matrix domains

J Inequal Appl. 2018;2018(1):296. doi: 10.1186/s13660-018-1887-4. Epub 2018 Oct 29.

Author

Gholamreza Talebi¹

Affiliation

¹ Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran.

Abstract

In this paper, we obtain the Köthe-Toeplitz duals of the domain of an arbitrary invertible summability matrix E in the space $ℓ_{p}$ . As a consequence, we apply our results to the Fibonacci and Euler sequence spaces and show that some recent works by Altay, Başar, and Mursaleen (Inf. Sci. 176:1450-1462, 2006) are all the special cases of our results.

Keywords: Köthe–Toeplitz duals; Sequence space; Summability matrix.