On multipliers of matrix domains

Abstract

Abstract In this paper, we obtain the Köthe–Toeplitz duals of the domain of an arbitrary invertible summability matrix E in the space ℓp $\ell_{p}$. 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
• Summability matrix
• Sequence space