Riesz projection and essential $S$-spectrum in quaternionic setting
Spectral Theory
2022-06-13 v3
Abstract
This paper is devoted to the investigation of the Weyl and the essential spectrum of a bounded right quaternionic linear operator in a right quaternionic Hilbert space. Using the quaternionic Riesz projection, the eigenvalue of finite type is introduced and studied. In particular, it is shown that the Weyl and the essential spectra does not contains eigenvalues of finite type. We also describe the boundary of the Weyl spectrum and the particular case of the spectral theorem of the essential spectrum.
Cite
@article{arxiv.2108.01157,
title = {Riesz projection and essential $S$-spectrum in quaternionic setting},
author = {Hatem Baloudi and Sayda Belgacem and Aref Jeribi},
journal= {arXiv preprint arXiv:2108.01157},
year = {2022}
}