Maps preserving the inner local spectral radius zero of generalized product of operators

DOI10.1007/s12215-018-0363-9OpenAlexW2889675499MaRDI QIDQ2311411

Abdelali Achchi

Publication date: 10 July 2019

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/s12215-018-0363-9

zbMATH Keywords

inner local spectral radiusnonlinear preserversanalytic core of an operatorgeneralized products

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

Maps preserving local spectral subspaces of generalised product of operators, Nonlinear maps preserving certain subspaces of Lie product of operators, On the some spectral domains in the spectrum preserves, Jordan product and fixed points preservers, Preservers of the local spectral radii, Nonlinear fixed points preservers, Maps preserving fixed points of generalized product of operators, Maps that preserve the local spectral subspace of generalized product of operators

Cites Work

• On maps preserving operators of local spectral radius zero
• Linear maps preserving operators of local spectral radius zero
• Maps preserving the local spectrum of Jordan product of matrices
• Additive maps preserving operators of inner local spectral radius zero
• Maps preserving the local spectrum of skew-product of operators
• Maps preserving the spectrum of generalized Jordan product of operators
• Maps preserving the nilpotency of products of operators
• Local spectral radius preservers
• Additive maps preserving local spectrum
• Maps preserving peripheral spectrum of generalized products of operators
• Nonlinear maps preserving the inner local spectral radius
• A survey on preservers of spectra and local spectra
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Maps preserving the local spectrum of some matrix products
• Mappings preserving spectra of products of matrices
• Linear maps on M_n(C) preserving the local spectral radius
• Maps preserving the local spectrum of triple product of operators
• Preservers of local spectra of operator products
• Unnamed Item
• Unnamed Item
• Unnamed Item