Decomposition of Normal Operators and Its Application to Spectral Theorem
Functional Analysis
2020-11-03 v2
Abstract
A decomposition theorem for self-adjoint operators proved by Riesz and Lorch is extended to normal operators. This extension gives a new proof of the spectral theorem for unbounded normal operators.
Cite
@article{arxiv.2006.04644,
title = {Decomposition of Normal Operators and Its Application to Spectral Theorem},
author = {Katsukuni Nakagawa},
journal= {arXiv preprint arXiv:2006.04644},
year = {2020}
}