A survey of invertibility and spectrum preserving linear maps

zbMath1202.47039MaRDI QIDQ974683

Ali-Akbar Jafarian

Publication date: 7 June 2010

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linear preserverBanach algebrasJordan algebrasinvertibility preserverspectrum preserver

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

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Spectrally additive maps on Banach algebras, Linear map preserving the right spectrum of quaternion matrices, Approximately spectrum-preserving maps, Spectral preservers and approximate spectral preservers on operator algebras, Right linear map preserving the left spectrum of 2x2 quaternion matrices