Maps preserving matrices of local reduced minimum modulus zero at a fixed vector

DOI10.1016/j.laa.2023.09.022MaRDI QIDQ6087859

Abdellatif Bourhim, Mohamed Mabrouk, Mostafa Mbekhta

Publication date: 16 November 2023

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

zbMATH Keywords

spectrumlinear preserverscyclic operatorslocal reduced minimum modulus

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Cyclic vectors, hypercyclic and chaotic operators (47A16) Linear preserver problems (15A86)

Cites Work

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• Spectrum-preserving linear maps
• Effects as functions on projective Hilbert space
• Busch-Gudder metric on the cone of positive semidefinite operators and its isometries
• A survey on preservers of spectra and local spectra
• Linear Transformations on Algebras of Matrices
• On Spaces of Linear Transformations with Bounded Rank
• Linear maps on M_n(C) preserving the local spectral radius
• Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector
• The local reduced minimum modulus on a Hilbert space
• Maps preserving the local reduced minimum modulus

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