Some Results on Non-Archimedean Operators Theory

Abstract

In this paper, we define the notions of semi-regular operator, analytical core, surjectivity modulus and the injectivity modulus of bounded linear operators on non-Archimedean Banach spaces over $\mathbb{K}.$ We give a necessary and sufficient condition on the range of bounded linear operators to be closed. Moreover, many results are proved.

Keywords

• non-archimedean banach spaces
• bounded linear operators
• range of bounded linear operators
• reduced minimum modulus