Geodesic
Maps on the Algebras of Measurable Operators Preserving Zero and Jordan Zero-products
Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 195-200 
I. M. Juraev. Maps on the Algebras of Measurable Operators Preserving Zero and Jordan Zero-products. Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 195-200. http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we prove that a continuous linear surjection from an algebra of measurable operators onto another one preserves zero products (resp. zero Jordan products) if and only if it is a non-zero scalar multiple of a homomorphism (resp. of an Jordan homomorphism).

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