Holomorphic maps preserving parts of the local spectrum

DOI10.1007/s00013-015-0792-zzbMath1335.47023OpenAlexW1002660510MaRDI QIDQ494608

Constantin Costara

Publication date: 1 September 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0792-z

zbMATH Keywords

local spectral radiusholomorphiclocal spectrumpreservers

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items (1)

Spectrum and local spectrum preservers of skew Lie products of matrices

Cites Work

• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Linear maps on M_n(C) preserving the local spectral radius
• On linear transformations preserving at least one eigenvalue
• On local irreducibility of the spectrum
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