Linear maps preserving Fredholm and Atkinson elements ofC*-algebras
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Publication:3648447
DOI10.1080/03081080802253698zbMath1185.47035OpenAlexW1988746036MaRDI QIDQ3648447
María J. Burgos, Mohamed Bendaoud, Abdellatif Bourhim, Mustapha Sarih
Publication date: 26 November 2009
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080802253698
linear preserversFredholm elementsAtkinson elementsgeneralised Calkin algebraideal of inessential elementsleft and right semi-Fredholm elements
Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
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Cites Work
- Spectrum-preserving linear maps
- \(C^*\)-algebras of real rank zero
- Some general techniques on linear preserver problems
- Invertibility preserving maps preserve idempotents
- Linear maps between Banach algebras compressing certain spectral functions
- Linear maps preserving the essential spectral radius
- Linear maps preserving generalized invertibility
- Invertibility-preserving maps of \(C^*\)-algebras with real rank zero
- A characterization of maximal ideals
- Linear maps preserving the spectral radius
- Sur une généralisation du groupe orthogonal à quatre variables
- Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
- Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
- Linear maps preserving essential spectral functions and closeness of operator ranges
- JORDAN ISOMORPHISM OF PURELY INFINITE C*-ALGEBRAS
- Linear maps preserving semi-Fredholm operators and generalized invertibility
- Elementary operators on prime C*-algebras II
- Non-simple purely infinite C*-algebras
- First results on spectrally bounded operators
- Invertibility preserving linear maps on ℒ(𝒳)
- Linear maps preserving the set of Fredholm operators
