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 ac...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2024-08, Vol.152 (8), p.3475-3484 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/16815 |