Nonlinear maps preserving the inner local spectral radius

DOI10.1007/s12215-014-0181-7zbMath1334.47004OpenAlexW1988609116MaRDI QIDQ2517007

Tarik Jari

Publication date: 5 August 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0181-7

zbMATH Keywords

local spectral radiuslocal spectruminner local spectral radiusnonlinear preservers

Mathematics Subject Classification ID

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

Related Items (9)

Nonlinear maps preserving certain subspaces of Lie product of operators ⋮ Preservers of the local spectral radii ⋮ Linear maps preserving operators of inner local spectral radius zero at some fixed vector ⋮ Additive maps preserving matrices of inner local spectral radius zero at some fixed vector ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ Inner local spectral radius preservers ⋮ Maps preserving the inner local spectral radius zero of generalized product of operators

Cites Work

• Unnamed Item
• Unnamed Item
• Linear maps preserving operators of local spectral radius zero
• Automatic continuity for linear surjective mappings decreasing the local spectral radius at some fixed vector
• Additive maps preserving operators of inner local spectral radius zero
• Nonlinear maps preserving the minimum and surjectivity moduli
• Surjective linear maps preserving local spectra
• A primer on spectral theory
• The surjectivity radius, packing numbers and boundedness below of linear operators
• Local spectral radius preservers
• Local spectrum linear preservers at non-fixed vectors
• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Additive maps preserving local spectrum
• Linear maps preserving the spectral radius
• A survey on preservers of spectra and local spectra
• Surjective maps on matrices preserving the local spectral radius distance
• Local spectrum and local spectral radius of an operator at a fixed vector
• Linear maps on M_n(C) preserving the local spectral radius
• Invertibility preserving linear maps on ℒ(𝒳)
• Maps preserving the local spectrum of triple product of operators
• From geometry to invertibility preservers

This page was built for publication: Nonlinear maps preserving the inner local spectral radius