Nonlinear maps preserving condition spectrum of Jordan skew triple product of operators

DOI10.7153/oam-2018-12-56OpenAlexW2905275468WikidataQ128749548 ScholiaQ128749548MaRDI QIDQ5229227

Y. Bouramdane, Aziz Lahssaini, Hassane Benbouziane, M. Ech-Chérif El Kettani

Publication date: 14 August 2019

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

Full work available at URL: https://doi.org/10.7153/oam-2018-12-56

zbMATH Keywords

condition spectral radiuscondition spectranonlinear Jordan skew triple product preservers

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Nonlinear fixed points preservers, Nonlinear maps preserving the local spectral subspace

Uses Software

• Eigtool

Cites Work

• Linear maps preserving pseudospectrum and condition spectrum
• Condition spectra of special operators and condition spectra preservers
• Properties and preservers of the pseudospectrum
• Additive maps preserving operators of inner local spectral radius zero
• Maps preserving the nilpotency of products of operators
• Preservers of pseudo spectral radius of operator products
• Nonlinear maps preserving numerical radius of indefinite skew products of operators
• Pseudospectra of special operators and pseudospectrum preservers
• Unitary similarity invariant function preservers of skew products of operators
• Peripheral local spectrum preservers and maps increasing the local spectral radius
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Pseudospectrum of an element of a Banach algebra
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