On an infinite dimensional leslie matrix in the banach space c0

Abstract EN

In this paper, we introduce Leslie matrix with an infinite dimensional components.

The top row {an}1∞ and sub diagonal {wn}1∞ of such matrix are assumed to be elements of the Banach space c0 .We prove that an infinite dimensional Leslie matrices have a positive real eigenvalue.

In addition such matrix defines a compact linear operator from c0 into c0 .