Maps preserving some spectral domains of operator products

DOI10.1080/03081087.2020.1801567OpenAlexW3049540099MaRDI QIDQ5095246

Shirin Hejazian, Sepide Hajighasemi

Publication date: 5 August 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1801567

zbMATH Keywords

linear operatorsemi-Fredholm domainFredholm domainpreserver mapWeyl domain

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Spectral sets of linear operators (47A25) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (4)

Maps preserving some spectral domains of skew products of operators ⋮ Maps preserving the \(\partial\)-spectrum of product or triple product of operators ⋮ On the some spectral domains in the spectrum preserves ⋮ Some spectral domain in approximate point-spectrum-preserving maps on \(\mathcal{B}(\mathcal{X})\)

Cites Work

• Unnamed Item
• Additive maps preserving the semi-Fredholm domain in spectrum
• Maps preserving peripheral spectrum of Jordan semi-triple products of operators
• Additive maps on standard operator algebras preserving parts of the spectrum.
• Lie product and local spectrum preservers
• Additive mappings preserving operators of rank one
• Linear maps preserving generalized invertibility
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• MAPS PRESERVING THE LOCAL SPECTRUM OF PRODUCT OF OPERATORS
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear maps that preserve semi-Fredholm operators acting on Banach spaces
• Linear maps preserving semi-Fredholm operators and generalized invertibility
• Invertibility preserving linear maps on ℒ(𝒳)
• Maps preserving the local spectrum of triple product of operators
• Linear maps preserving the set of Fredholm operators

This page was built for publication: Maps preserving some spectral domains of operator products