Linear maps on operator algebras that preserve elements annihilated by a polynomial
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Publication:4529688
DOI10.1090/S0002-9939-02-06362-1zbMath1038.47027MaRDI QIDQ4529688
Publication date: 6 May 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Algebras of operators on Banach spaces and other topological linear spaces (47L10)
Related Items (6)
Linear maps between Banach algebras compressing certain spectral functions ⋮ Linear preservers of quadratic operators ⋮ Linear maps preserving matrices annihilated by a fixed polynomial ⋮ A characterization of an isomorphism ⋮ Preserving Zeros of a Polynomial ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\)
Cites Work
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- Linear preserver problems: A brief introduction and some special techniques
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- Linear maps preserving the spectral radius
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- Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
- Local multiplications on algebras spanned by idempotents
- On local automorphisms and mappings that preserve idempotents
- Linear Mappings that Preserve Potent Operators
- Rank-preserving linear maps on B(X)
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