Browder S-resolvent equation in quaternionic setting
Spectral Theory
2023-07-19 v1
Abstract
This paper is devoted to the study of the S-eigenvalue of finite type of a bounded right quaternionic linear operator acting in a right quaternionic Hilbert space. The study is based on the different properties of the Riesz projection associated with the connected part of the S-spectrum. Furthermore, we introduce the left and right Browder S-resolvent operators. Inspired by the S-resolvent equation, we give the Browder's S-resolvent equation in quaternionic setting.
Cite
@article{arxiv.2307.09340,
title = {Browder S-resolvent equation in quaternionic setting},
author = {H. Baloudi and A. Jeribi and H. Zmouli},
journal= {arXiv preprint arXiv:2307.09340},
year = {2023}
}