Pairs of continuous linear bijective maps preserving fixed products of operators

DOI10.1090/PROC/16772WikidataQ129749393 ScholiaQ129749393MaRDI QIDQ6498396

Constantin Costara

Publication date: 7 May 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrumlinear preserver problemsproducts of operators

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A primer on spectral theory
• Linear maps between Banach algebras compressing certain spectral functions
• Linear bijective maps preserving fixed products of matrices
• Pairs of linear maps on matrix spaces preserving products equal to fixed elements
• On maps preserving products equal to fixed elements
• Fixed product preserving mappings on Banach algebras
• The Unconditional Basic Sequence Problem
• Some remarks on the surjectivity spectrum of linear operators
• Local spectrum and local spectral radius of an operator at a fixed vector

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