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

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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). 
@article{DVMG_2012_12_2_a6,
     author = {I. M. Juraev},
     title = {Maps on the {Algebras} of {Measurable} {Operators} {Preserving} {Zero} and {Jordan} {Zero-products}},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {195--200},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a6/}
}
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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/