Additive mappings on von Neumann algebra
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M. Radjabalipour
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Article
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2003
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Elsevier Science
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English
โ 135 KB
Given Hilbert spaces H and K and a von Neumann algebra A โ B(H ), let denote the class of all additive mappings ฯ : The paper shows that if A contains no nonzero abelian central projection then every ฯ โ preserves the \* -operation, the R-linear combination, and, up to a commuting operator multiple