Some Results on Non-Archimedean Operators Theory

Author(s):

Jawad Ettayb *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:20 Issue: 4, Autumn 2023
Pages:
139 to 154
https://www.magiran.com/p2615433