Maps preserving the \(\partial\)-spectrum of product or triple product of operators

DOI10.1007/s00009-023-02501-3OpenAlexW4387394441MaRDI QIDQ6052770

Ismail El Khchin, Mustapha Ech-Cherif El Kettani, Aukacha Daoudi, Hassane Benbouziane

Publication date: 17 October 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02501-3

zbMATH Keywords

productnonlinear preservers problem\(\partial\)-spectrumtriple product of operators

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maps preserving peripheral spectrum of Jordan semi-triple products of operators
• Maps preserving the spectrum of generalized Jordan product of operators
• A generalization of peripherally-multiplicative surjections between standard operator algebras
• Spectrum-preserving linear maps
• Additive maps on standard operator algebras preserving parts of the spectrum.
• Linear maps between Banach algebras compressing certain spectral functions
• Unitary similarity invariant function preservers of skew products of operators
• Additive mappings preserving operators of rank one
• Ein Spektralabbildungssatz. (A spectral mapping theorem)
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Linear maps preserving the minimum and surjectivity moduli of operators
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Mappings preserving spectra of products of matrices
• Invertibility preserving linear maps on ℒ(𝒳)
• Maps preserving some spectral domains of operator products
• Maps preserving the local spectrum of triple product of operators
• Spectral theory of linear operators and spectral systems in Banach algebras

This page was built for publication: Maps preserving the \(\partial\)-spectrum of product or triple product of operators