Additive spectrum compressors

DOI10.1016/j.jmaa.2004.09.004zbMath1067.47049OpenAlexW2011761948MaRDI QIDQ1772280

Bojan Kuzma

Publication date: 18 April 2005

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.2004.09.004

zbMATH Keywords

spectrumadditive preserverstandard operator algebra

Mathematics Subject Classification ID

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

Related Items (5)

Maps completely preserving spectral functions ⋮ Additive maps between standard operator algebras compressing certain spectral functions ⋮ Additive local spectrum compressors ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators ⋮ On the pseudospectrum preservers

Cites Work

• Unnamed Item
• Spectrum-preserving linear maps
• Spectrum-preserving additive maps
• A primer on spectral theory
• Additive maps on standard operator algebras preserving parts of the spectrum.
• Jordan triple maps.
• Invertibility preserving maps preserve idempotents
• Additive mappings preserving operators of rank one
• Additive mappings preserving rank-one idempotents
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Spectrum preserving linear mappings in Banach algebras
• A note on invertibility preservers on Banach algebras
• Invertibility preserving linear maps on ℒ(𝒳)
• When are Multiplicative Mappings Additive?
• On Explicit Bounds In Schottky's Theorem

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