A New Proof of the Weyl-von Neumann-Berg Theorem
Functional Analysis
2025-03-26 v3 Complex Variables
Operator Algebras
Abstract
We give a new proof of the Weyl-von Neumann-Berg theorem. Our proof improves Halmos' proof in 1972 by observing the fact that every compact set in the complex plane is the continuous image of a compact set in the real line.
Keywords
Cite
@article{arxiv.2502.19028,
title = {A New Proof of the Weyl-von Neumann-Berg Theorem},
author = {Longxiang Fan and Shichang Song},
journal= {arXiv preprint arXiv:2502.19028},
year = {2025}
}