On the some spectral domains in the spectrum preserves

DOI10.1007/s11785-023-01364-6OpenAlexW4385954081MaRDI QIDQ6096052

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Publication date: 11 September 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01364-6

zbMATH Keywords

operator algebraspectral domainpreserver problem

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)

Cites Work

• Additive maps preserving the semi-Fredholm domain in spectrum
• General preservers of invariant subspace lattices
• Maps preserving the inner local spectral radius zero of generalized product of operators
• Additive mappings preserving operators of rank one
• Maps preserving peripheral spectrum of generalized products of operators
• Maps preserving local spectral subspaces of generalised product of operators
• Mappings preserving the idempotency of products of operators
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Ulam Stability in Real Inner-Product Spaces
• Maps preserving fixed points of generalized product of operators
• On matching distance between eigenvalues of unbounded operators
• Maps preserving some spectral domains of operator products
• Maps preserving the local spectral radius zero of generalized product of operators
• Jordan isomorphisms and maps preserving spectra of certain operator products
• Maps preserving some spectral domains of skew products of operators

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