A study on Copson operator and its associated sequence space II

In this paper, we investigate some properties of the domains c(C-n), c(0)(C-n), and l(p)(C-n) (0 < p < 1) of the Copson matrix of order n, where c, c(0), and l(p) are the spaces of all convergent, convergent to zero, and p-summable real sequences, respectively. Moreover, we compute the Kothe duals of these spaces and the lower bound of well-known operators on these sequence spaces. The domain l(p)(C-n) of Copson matrix C-n of order n in the sequence space l(p), the norm of operators on this space, and the norm of Copson operator on several matrix domains have been investigated recently in (Roopaei in J. Inequal. Appl. 2020:120, 2020), and the present study is a complement of our previous research.