单元算子曲线谱边界的几何性质

Pub Date : 2024-02-29 DOI:10.1090/proc/16815
Martin Miglioli
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引用次数: 0

摘要

本文提出了关于单元算子乘积谱边界定理的新证明,以及该定理在可微分曲线上的广义化。证明涉及单元算子组和这些算子作用的球面中的度量几何论证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Geometry of spectral bounds of curves of unitary operators

This article presents a new proof of a theorem concerning bounds of the spectrum of the product of unitary operators and a generalization for differentiable curves of this theorem. The proofs involve metric geometric arguments in the group of unitary operators and the sphere where these operators act.

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