λ-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices

Abstract

Abstract In this article, we study the λ \lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices. We discuss some properties of λ \lambda -commuting of bounded linear operators and the determinant spectrum of ultrametric matrices. Finally, we provide some examples to support our work.