Additive maps preserving matrices of inner local spectral radius zero at some fixed vector

DOI10.1090/conm/743/14954zbMath1461.47014OpenAlexW3006479464MaRDI QIDQ3295971

Constantin Costara

Publication date: 3 July 2020

Published in: Complex Analysis and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/743/14954

zbMATH Keywords

local spectral radiusadditive mapslocal spectrumlinear preserver problemsinner local spectral radius

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 (2)

Linear maps preserving operators of inner local spectral radius zero at some fixed vector ⋮ Recent progress on local spectrum-preserving maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On maps preserving operators of local spectral radius zero
• Linear maps preserving operators of local spectral radius zero
• Additive maps preserving operators of inner local spectral radius zero
• A primer on spectral theory
• Inner local spectral radius preservers
• Local spectral radius preservers
• Additive maps preserving local spectrum
• Nonlinear maps preserving the inner local spectral radius
• Variation of local spectrum
• Additive maps on matrix algebras preserving invertibility
• A survey on preservers of spectra and local spectra
• Local spectrum and local spectral radius of an operator at a fixed vector
• Linear maps on M_n(C) preserving the local spectral radius
• On operators with the same local spectra
• Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector
• Additive local invertibility preservers

This page was built for publication: Additive maps preserving matrices of inner local spectral radius zero at some fixed vector