On Abstract Spectral Constants

Felix L. Schwenninger; Jens de Vries

doi:10.1007/978-3-031-50613-0_15

On Abstract Spectral Constants

Felix L. Schwenninger, Jens de Vries^*

^*Corresponding author for this work

Mathematical Systems Theory

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

2 Citations (Scopus)

97 Downloads (Pure)

Abstract

We prove bounds for a class of 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
Title of host publication	Operator and Matrix Theory, Function Spaces, and Applications
Subtitle of host publication	International Workshop on Operator Theory and its Applications 2022, Kraków, Poland
Editors	Marek Ptak, Hugo J. Woerdeman, Michał Wojtylak
Place of Publication	Cham
Publisher	Springer
Pages	335-350
Number of pages	16
ISBN (Electronic)	978-3-031-50613-0
ISBN (Print)	978-3-031-50615-4
DOIs	https://doi.org/10.1007/978-3-031-50613-0_15
Publication status	Published - 2024
Event	33th International Workshop on Operator Theory and Its Applications, IWOTA 2022 - Kraków, Poland Duration: 6 Sept 2022 → 9 Sept 2022 Conference number: 33

Publication series

Name	Operator Theory: Advances and Applications
Publisher	Birkhäuser
Volume	295
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Conference

Conference	33th International Workshop on Operator Theory and Its Applications, IWOTA 2022
Abbreviated title	IWOTA
Country/Territory	Poland
City	Kraków
Period	6/09/22 → 9/09/22

Keywords

2024 OA procedure

Access to Document

10.1007/978-3-031-50613-0_15

ArticleFinal published version, 452 KBLicence: Taverne

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Schwenninger, F. L., & de Vries, J. (2024). On Abstract Spectral Constants. In M. Ptak, H. J. Woerdeman, & M. Wojtylak (Eds.), Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and its Applications 2022, Kraków, Poland (pp. 335-350). (Operator Theory: Advances and Applications; Vol. 295). Springer. https://doi.org/10.1007/978-3-031-50613-0_15

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abstract = "We prove bounds for a class of 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.",

keywords = "2024 OA procedure",

author = "Schwenninger, {Felix L.} and {de Vries}, Jens",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 33th International Workshop on Operator Theory and Its Applications, IWOTA 2022, IWOTA ; Conference date: 06-09-2022 Through 09-09-2022",

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Schwenninger, FL & de Vries, J 2024, On Abstract Spectral Constants. in M Ptak, HJ Woerdeman & M Wojtylak (eds), Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and its Applications 2022, Kraków, Poland. Operator Theory: Advances and Applications, vol. 295, Springer, Cham, pp. 335-350, 33th International Workshop on Operator Theory and Its Applications, IWOTA 2022, Kraków, Poland, 6/09/22. https://doi.org/10.1007/978-3-031-50613-0_15

On Abstract Spectral Constants. / Schwenninger, Felix L.; de Vries, Jens.
Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and its Applications 2022, Kraków, Poland. ed. / Marek Ptak; Hugo J. Woerdeman; Michał Wojtylak. Cham: Springer, 2024. p. 335-350 (Operator Theory: Advances and Applications; Vol. 295).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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T1 - On Abstract Spectral Constants

AU - Schwenninger, Felix L.

AU - de Vries, Jens

N1 - Conference code: 33

PY - 2024

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N2 - We prove bounds for a class of 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.

AB - We prove bounds for a class of 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.

KW - 2024 OA procedure

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DO - 10.1007/978-3-031-50613-0_15

M3 - Chapter

AN - SCOPUS:85191339961

SN - 978-3-031-50615-4

T3 - Operator Theory: Advances and Applications

SP - 335

EP - 350

BT - Operator and Matrix Theory, Function Spaces, and Applications

A2 - Ptak, Marek

A2 - Woerdeman, Hugo J.

A2 - Wojtylak, Michał

PB - Springer

CY - Cham

T2 - 33th International Workshop on Operator Theory and Its Applications, IWOTA 2022

Y2 - 6 September 2022 through 9 September 2022

ER -

On Abstract Spectral Constants

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On Abstract Spectral Constants

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