Maps preserving zero Jordan products on Hermitian operators.

zbMath1092.47036MaRDI QIDQ2567510

Wen-Fong Ke, Pjek-Hwee Lee, Mikhail A. Chebotar

Publication date: 5 October 2005

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

bounded operatorsJordan automorphismszero Jordan products

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear operators on Banach algebras (47B48) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Associated groups, automorphisms of Jordan algebras (17C30)

Related Items (4)

On the fourier algebra of certain hypergroups ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\) ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)

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