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Real compact operators in factors of type I, II and \(\text{III}_{\lambda}\), \(0<\lambda<1\) - MaRDI portal

Real compact operators in factors of type I, II and \(\text{III}_{\lambda}\), \(0<\lambda<1\) (Q2474645)

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Real compact operators in factors of type I, II and \(\text{III}_{\lambda}\), \(0<\lambda<1\)
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    Real compact operators in factors of type I, II and \(\text{III}_{\lambda}\), \(0<\lambda<1\) (English)
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    6 March 2008
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    The authors introduce the ideal of compact operators in real \(W^*\)-algebras. In a manner similar to the complex case, they give a description (up to isomorphism) of uniformly closed two-sided ideals in real factors in terms of ideals of compact operators.
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    real \(W^*\)-algebra
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    real factor
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    compact operator
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    real two-sided ideal
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