Normal operators in real and quaternionic Hilbert spaces
Functional Analysis
2025-07-28 v3
Abstract
A new approach to normal operators in real Hilbert spaces is discussed, and a spectral representation is obtained, derived directly from the complex case. The results are then applied to quaternionic normal operators, regarded as a special class of real normal operators. This point of view allows us to consider their spectrum and associated measures to be defined on subsets of the complex plane, in a classical manner.
Cite
@article{arxiv.2103.16266,
title = {Normal operators in real and quaternionic Hilbert spaces},
author = {Florian-Horia Vasilescu},
journal= {arXiv preprint arXiv:2103.16266},
year = {2025}
}
Comments
29 pages, research work