Unital invertibility-preserving linear maps into matrix spaces

DOI10.1016/j.jmaa.2013.10.045zbMath1328.47002OpenAlexW1994766625MaRDI QIDQ2019081

Constantin Costara

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.045

zbMATH Keywords

continuityspectrum functionlinear mapsinvertibility preserving

Mathematics Subject Classification ID

Automatic continuity (46H40) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Une généralisation du théorème de Gleason-Kahane-Zelazko pour les algèbres de Banach. (A généralization of the Gleason-Kahane-Zelasko théorem for Banach algebras)
• Two generalizations of the Gleason-Kahane-Żelazko theorem
• On invertibility preserving linear mappings, simultaneous triangularization and property \(L\)
• A characterization of maximal ideals
• A characterization of multiplicative linear functionals in Banach algebras
• Invertibility preserving linear mappings into M₂(C)
• A characterization of maximal ideals in commutative Banach algebras

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