Jawad Ettayb

Two Parameter $C_{0}$-Groups of Linear Operators on Ultrametric Banach Spaces

abstract:
This paper is concerned with some properties of two-parameter $C_{0}$-groups and two-parameter uniformly continuous groups and series of bounded linear operators on ultrametric Banach spaces. Our main result is to extend some known theorems in the classical setting to the ultrametric case. Finally, we give some examples.

Mathematics Subject Classification: 47D03, 47S10

Key words and phrases: Ultrametric Banach spaces, $C_{0}$-groups of bounded linear operators, two-parameter groups of bounded linear operators