Some characterization of Atkinson & Fredholm operators
DOI:
https://doi.org/10.3126/medha.v7i1.73901Keywords:
Atkinson operator, Fredholm operator, indexAbstract
In this paper, we study the Atkinson operator and Fredholm operator. We showed that every Atkinson operator with a nonpositive index could be represented as a finite-dimensional perturbation of a left-invertible Atkinson operator. Similar theorems can then be proved for Atkinson operators with non-negative index and Fredholm operators with zero and arbitrary index. With the help of these theorems, we gave a unique characterization of the index except for a rational factor.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Mahendra Morang Adarsha Multiple Campus
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.