On maps preserving zeros of the polynomial \(xy - yx^\ast\)
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Publication:2568372
DOI10.1016/j.laa.2005.06.015zbMath1079.15002OpenAlexW2078474384MaRDI QIDQ2568372
Yuen Fong, Pjek-Hwee Lee, Mikhail A. Chebotar
Publication date: 10 October 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2005.06.015
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)
Related Items (23)
Strong skew commutativity preserving maps on rings with involution. ⋮ Maps preserving zeros of matrix polynomials ⋮ Nonlinear skew Jordan derivable maps on factor von Neumann algebras ⋮ Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators ⋮ Maps preserving zeros of a polynomial ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ A note on strong skew Jordan product preserving maps on von Neumann algebras ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Multiplicatively pseudo spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ A note on strong \(\eta \)-Lie products preserving maps on some algebras ⋮ Some unitary similarity invariant sets preservers of skew Lie products ⋮ Maps Preserving Zeros ofxy* ⋮ Additive maps on hermitian matrices ⋮ k-skew Lie products on prime rings with involution ⋮ Strong skew commutativity preserving maps on von Neumann algebras ⋮ STRONG SKEW COMMUTATIVITY PRESERVING MAPS ON RINGS ⋮ Strong (skew) ξ-Lie commutativity preserving maps on algebras ⋮ Strong commutativity preserving generalized derivations on Lie ideals ⋮ Properties and preservers of numerical radius on skew Lie products of operators ⋮ Preserving Zeros of a Polynomial ⋮ On maps preserving zeros of Lie polynomials of small degrees ⋮ Strong commutativity preserving maps in prime rings with involution.
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