On the group of linear preservers of the Gau-Wu number

A. Guterman; E. Shen; I. Spitkovsky

doi:10.1016/j.laa.2024.07.011

On the group of linear preservers of the Gau-Wu number

A. Guterman, E. Shen, I. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Gau-Wu number is an important matrix invariant describing the geometry of the numerical range. In this work, the group of non-singular linear preservers of the Gau-Wu number is completely characterized.

Original language	English (US)
Pages (from-to)	1-25
Number of pages	25
Journal	Linear Algebra and Its Applications
Volume	700
DOIs	https://doi.org/10.1016/j.laa.2024.07.011
State	Published - Nov 1 2024

Keywords

Gau-Wu number
Linear preservers
Matrices

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2024.07.011

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title = "On the group of linear preservers of the Gau-Wu number",

abstract = "The Gau-Wu number is an important matrix invariant describing the geometry of the numerical range. In this work, the group of non-singular linear preservers of the Gau-Wu number is completely characterized.",

keywords = "Gau-Wu number, Linear preservers, Matrices",

author = "A. Guterman and E. Shen and I. Spitkovsky",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

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doi = "10.1016/j.laa.2024.07.011",

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AU - Guterman, A.

AU - Shen, E.

AU - Spitkovsky, I.

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Y1 - 2024/11/1

N2 - The Gau-Wu number is an important matrix invariant describing the geometry of the numerical range. In this work, the group of non-singular linear preservers of the Gau-Wu number is completely characterized.

AB - The Gau-Wu number is an important matrix invariant describing the geometry of the numerical range. In this work, the group of non-singular linear preservers of the Gau-Wu number is completely characterized.

KW - Gau-Wu number

KW - Linear preservers

KW - Matrices

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EP - 25

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

On the group of linear preservers of the Gau-Wu number

Abstract

Keywords

ASJC Scopus subject areas

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