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- Operator-Valued Measures, Dilations, and the Theory of Frames
Operator-Valued Measures, Dilations, and the Theory of Frames
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The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian.
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