On local irreducibility of the spectrum

DOI10.1090/S0002-9939-07-08779-5zbMath1181.15011OpenAlexW1983823887MaRDI QIDQ5291921

Constantin Costara, Thomas Ransford

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08779-5

zbMATH Keywords

spectral radiusspectrumirreducibilitypreserveralgebroid multifunction

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Multifunctions of several complex variables (32A12)

Related Items (6)

Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ Holomorphic maps preserving parts of the local spectrum ⋮ A Cartan type theorem for finite-dimensional algebras ⋮ On a spectral version of Cartan's theorem

Cites Work

• Unnamed Item
• A Cartan type theorem for finite-dimensional algebras
• Geometry of the symmetrized polydisc
• Linear maps preserving the spectral radius
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Holomorphic Self-Maps of the Spectral unit Ball
• On linear transformations preserving at least one eigenvalue
• Non-Linear Spectrum-Preserving Maps
• A Cartan theorem for Banach algebras

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