Title of article :
Some Results on Non-Archimedean Operators Theory
Author/Authors :
Ettayb ، Jawad Department of Mathematics and Computer Science - Faculty of Sciences Dhar El Mahraz - Sidi Mohamed Ben Abdellah University
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
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
