On Abstract Spectral Constants

Felix L. Schwenninger; Jens de Vries

doi:10.48550/arXiv.2302.05389

On Abstract Spectral Constants

Felix L. Schwenninger
, Jens de Vries

Research output: Working paper › Preprint › Academic

65 Downloads (Pure)

Abstract

We prove bounds for a class of unital homomorphisms arising in the study of spectral sets, by involving extremal functions and vectors. These are used to recover three celebrated results on spectral constants by Crouzeix--Palencia, Okubo--Ando and von Neumann in a unified way and to refine a recent result by Crouzeix--Greenbaum.

Original language	English
Publisher	ArXiv.org
Number of pages	14
DOIs	https://doi.org/10.48550/arXiv.2302.05389
Publication status	Published - 10 Feb 2023

Keywords

math.FA
cs.NA
math.NA
math.OA
math.SP
47A25 (Primary) 46J10 (Secondary)

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10.48550/arXiv.2302.05389Licence: Other

2302.05389v1Final published version, 205 KBLicence: Other

On Abstract Spectral Constants
Schwenninger, F. L. & de Vries, J., 2024, Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and its Applications 2022, Kraków, Poland. Ptak, M., Woerdeman, H. J. & Wojtylak, M. (eds.). Cham: Springer, p. 335-350 16 p. (Operator Theory: Advances and Applications; vol. 295).
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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On Abstract Spectral Constants

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On Abstract Spectral Constants

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