A New Proof of the Weyl-von Neumann-Berg Theorem

Longxiang Fan; Shichang Song

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arXiv · 2502.19028

A New Proof of the Weyl-von Neumann-Berg Theorem

Longxiang Fan·Shichang Song

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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.

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Longxiang Fan, Shichang Song. 2025-02-26. A New Proof of the Weyl-von Neumann-Berg Theorem. https://arxiv.org/abs/2502.19028

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