S-spectrum and numerical range of a quaternionic operator
Functional Analysis
2022-10-12 v1
Abstract
We study the numerical range of bounded linear operators on quaternionic Hilbert spaces and its relation with the S-spectrum. The class of complex operators on quaternionic Hilbert spaces is introduced and the upper bild of normal complex operators is completely characterized in this setting.
Cite
@article{arxiv.2210.05535,
title = {S-spectrum and numerical range of a quaternionic operator},
author = {Luís Carvalho and Cristina Diogo and Sérgio Mendes},
journal= {arXiv preprint arXiv:2210.05535},
year = {2022}
}