Mappings that preserve pairs of operators with zero triple Jordan product

DOI10.1016/j.laa.2007.04.017zbMath1130.15002OpenAlexW2071887868MaRDI QIDQ996281

Chi-Kwong Li, Bojan Kuzma, Mirko Dobovišek, Tatjana Petek, Gorazd Lešnjak

Publication date: 14 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.04.017

zbMATH Keywords

Hermitian matricesHilbert spacematrix algebraBanach spacebounded operatorspreserverrank-one matrixJordan triple product

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (29)

On preservers of pseudo spectrum of skew Jordan matrix products ⋮ Maps preserving the truncation of products of operators ⋮ Maps preserving the dimension of fixed points of products of operators ⋮ Maps preserving numerical radius and cross norms of operator products ⋮ Surjective Jordan maps and Jordan triple maps ⋮ Maps preserving numerical radius or cross norms of products of self-adjoint operators ⋮ Maps preserving a certain product of operators ⋮ Maps preserving a Ky-Fan norm of Jordan product ⋮ Zero triple product determined matrix algebras. ⋮ Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. ⋮ Numerical range of Lie product of operators ⋮ Surjective maps preserving the reduced minimum modulus of products ⋮ Linear maps preserving idempotency of products or triple Jordan products of operators ⋮ Nonlinear maps preserving certain subspaces ⋮ Maps preserving the square zero of η-Lie product of operators ⋮ Condition spectra of special operators and condition spectra preservers ⋮ A ternary characterization of automorphisms of \({\mathbb B}({\mathcal H})\) ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Preservers of Radial unitary similarity functions on Jordan semi-triple products of self-adjoint operators ⋮ Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product ⋮ Mappings preserving the idempotency of products of operators ⋮ Maps preserving operator pairs whose products are projections ⋮ A note on preservers of pseudo spectrum of matrix products ⋮ Nonlinear maps preserving numerical radius of indefinite skew products of operators ⋮ Properties and preservers of numerical radius on skew Lie products of operators ⋮ Maps preserving the pseudo spectrum of skew triple product of operators ⋮ Similarity Jordan multiplicative maps ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators ⋮ Preservers of the c-numerical radius of operator jordan semi-triple products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maps on matrix spaces
• An elementary proof of the fundamental theorem of projective geometry
• Isometries for unitarily invariant norms
• Adjacency preserving maps on the space of self-adjoint operators
• Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
• Maps preserving numerical ranges of operator products
• Mappings on matrices: invariance of functional values of matrix products
• Local automorphisms of operator algebras on Banach spaces
• Rank-preserving linear maps on B(X)

This page was built for publication: Mappings that preserve pairs of operators with zero triple Jordan product