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• W2044993889 abstract "We find a description of the restriction of doubly stochastic maps to separable abelian C*-subalgebras of a II 1 factor $${mathcal{M}}$$ . We use this local form of doubly stochastic maps to develop a notion of joint majorization between n-tuples of mutually commuting self-adjoint operators that extends those of Kamei (for single self-adjoint operators) and Hiai (for single normal operators) in the II1 factor case. Several characterizations of this joint majorization are obtained. As a byproduct we prove that any separable abelian C*-subalgebra of $${mathcal{M}}$$ can be embedded into a separable abelian C*-subalgebra of $${mathcal{M}}$$ with diffuse spectral measure." @default.
• W2044993889 created "2016-06-24" @default.
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• W2044993889 date "2008-03-13" @default.
• W2044993889 modified "2023-10-10" @default.
• W2044993889 title "The Local Form of Doubly Stochastic Maps and Joint Majorization in II 1 Factors" @default.
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• W2044993889 doi "https://doi.org/10.1007/s00020-008-1569-6" @default.
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