Some characterization of Atkinson & Fredholm operators

Authors

  • Satya Narayan Sah Department of Mathematics, M.M.A.M.Campus, Biratnagar

DOI:

https://doi.org/10.3126/medha.v7i1.73901

Keywords:

Atkinson operator, Fredholm operator, index

Abstract

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.

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Published

2024-12-31

How to Cite

Sah, S. N. (2024). Some characterization of Atkinson & Fredholm operators . Medha: A Multidisciplinary Journal, 7(1), 125–130. https://doi.org/10.3126/medha.v7i1.73901

Issue

Vol. 7 No. 1 (2024)

Section

Articles

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Copyright (c) 2024 Mahendra Morang Adarsha Multiple Campus

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