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

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.

Keywords

• ultrametric banach spaces
• λ-commuting operator
• linear operators
• determinant spectrum of ultrametric matrices
• 47a05
• 47s10
• 46s10