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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 2, Pages 195–200 (Mi dvmg240)  
Maps on the Algebras of Measurable Operators Preserving Zero and Jordan Zero-products

I. M. Juraev

National University of Uzbekistan named after M. Ulugbek, Tashkent
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Abstract: 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).
Key words: von Neumann algebras, measurable operator, topology of convergence in measure, trace, homomorphism, Jordan homomorphism.
Received: 08.06.2012
Document Type: Article
UDC: 519.652
MSC: Primary 46L50; Secondary 46L55
Language: Russian
Citation: I. M. Juraev, “Maps on the Algebras of Measurable Operators Preserving Zero and Jordan Zero-products”, Dal'nevost. Mat. Zh., 12:2 (2012), 195–200
Citation in format AMSBIB
\Bibitem{Jur12}
\by I.~M.~Juraev
\paper Maps on the Algebras of Measurable Operators Preserving Zero and Jordan Zero-products
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 2
\pages 195--200
\mathnet{http://mi.mathnet.ru/dvmg240}
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