Spectral approximation of bounded linear operators on ultrametric Banach spaces

In this paper, we introduce and study the concepts of stable convergence and square-norm convergence of bounded linear operators on ultrametric Banach spaces. We establish a results on convergence and error estimates of operators and we prove many results related to the stable convergence, the square-convergence and the completely compact convergence on ultrametric Banach spaces. Finally, we give several examples about them.

کلیدواژه ها:

Ultrametric Banach spaces ، resolvent of operators ، collectively compact convergence