Geometry of spectral bounds of curves of unitary operators
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- by Martin Miglioli;
- Proc. Amer. Math. Soc. 152 (2024), 3475-3484
- DOI: https://doi.org/10.1090/proc/16815
- Published electronically: June 6, 2024
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Abstract:
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.References
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Bibliographic Information
- Martin Miglioli
- Affiliation: Instituto Argentino de Matemática-CONICET. Saavedra 15, Piso 3, (1083) Buenos Aires, Argentina
- MR Author ID: 1060057
- Email: martin.miglioli@gmail.com
- Received by editor(s): November 1, 2023
- Received by editor(s) in revised form: January 29, 2024, and January 31, 2024
- Published electronically: June 6, 2024
- Additional Notes: The author was supported by IAM-CONICET, grants PIP 2010-0757 (CONICET) and PICT 2010-2478 (ANPCyT)
- Communicated by: Javad Mashreghi
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3475-3484
- MSC (2020): Primary 47A10, 22E65, 58B20, 58E50
- DOI: https://doi.org/10.1090/proc/16815
- MathSciNet review: 4767277