A study on Fibonacci-Euler sequence spaces and related matrix transformations

Abstract

In this paper, we study the domains c₀(F^{L,E}) and c(F^{L,E}) of the matrix, involving Fibonacci and Lucas numbers, in the spaces c₀ and c, respectively. Apart from some basic topological properties, we give the Schauder basis for them. As well, we establish the α-, β-, γ-duals and certain matrix classifications on these spaces.