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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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