Maps preserving the peripheral local spectrum of some product of operators

DOI10.7153/oam-2019-13-49OpenAlexW2973310320MaRDI QIDQ5205408

Abdellatif El Ghazi, R. Marzouki

Publication date: 11 December 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2019-13-49

zbMATH Keywords

local spectrumnonlinear preserversthe single-valued extension property

Mathematics Subject Classification ID

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

Cites Work

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• Linear maps preserving operators of local spectral radius zero
• Maps preserving the local spectrum of Jordan product of matrices
• Maps preserving peripheral spectrum of Jordan semi-triple products of operators
• Maps preserving the local spectrum of skew-product of operators
• Maps preserving the nilpotency of products of operators
• Linear maps preserving idempotency of products or triple Jordan products of operators
• A generalization of peripherally-multiplicative surjections between standard operator algebras
• Rank-preserving multiplicative maps on \(B(X)\)
• Local spectral radius preservers
• Preservers of local spectrum of matrix Jordan triple products
• Additive mappings preserving operators of rank one
• Linear maps on \(M_{n}(\mathbb C)\) preserving the local spectrum
• Maps leaving functional values of operator products invariant
• Additive maps preserving local spectrum
• Variation of local spectrum
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Peripheral local spectrum preservers and maps increasing the 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
• Maps preserving numerical ranges of operator 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