Maps preserving matrix pairs with zero Jordan product
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Publication:3006565
DOI10.1080/03081081003600463zbMath1222.15031OpenAlexW2004297794MaRDI QIDQ3006565
Ajda Fošner, Nung-Sing Sze, T. Kuzma, Bojan Kuzma
Publication date: 20 June 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081081003600463
Hermitian, skew-Hermitian, and related matrices (15B57) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear preserver problems (15A86)
Related Items
Jordan product and local spectrum preservers, Maps on states preserving generalized entropy of convex combinations, Characterization of orthomaps on the Cayley plane, Maps preserving a Ky-Fan norm of Jordan product, Preservers of condition spectra and pseudo spectra of Hermitian matrix Jordan products, On maps preserving the Jordan product of $C$-symmetric operators, The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras, Linear maps preserving matrices annihilated by a fixed polynomial, Preserving zeros of Lie product on alternate matrices, Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operators, Maps preserving the local spectrum of Jordan product of matrices, Additive maps preserving commutativity up to a factor on nest algebras, Maps preserving unitarily invariant norms of Jordan product of matrices, Potent preservers of incidence algebras, Orthomaps on formally real simple Jordan algebras
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