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When does ‖f(A)‖ = f(‖A‖) hold true?

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Publication:5888898
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DOI10.1080/03081087.2021.1985054OpenAlexW3206174168MaRDI QIDQ5888898

Florian Bünger, Siegfried Michael Rump

Publication date: 25 April 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.1985054


zbMATH Keywords

numerical radiusmatrix normsmatrix functionsunitarily invariant normsDaugavet equationstrongly stable norms


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)




Cites Work

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  • The Daugavet equation in uniformly convex Banach spaces
  • The Daugavet equation for bounded vector-valued functions
  • On the numerical radius of Lipschitz operators in Banach spaces
  • Lipschitz slices and the Daugavet equation for Lipschitz operators
  • Matrix Completions, Norms, and Hadamard Products
  • Banach spaces with the Daugavet property
  • SOME REMARKS CONCERNING THE DAUGAVET EQUATION
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