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- W2979371489 abstract "We establish a finite-dimensional version of the Arveson-Stinespring dilation theorem for unital completely positive maps on operator systems. This result can be seen as a general principle to deduce finite-dimensional dilation theorems from their classical infinite-dimensional counterparts. In addition to providing unified proofs of known finite-dimensional dilation theorems, we establish finite-dimensional versions of Agler's theorem on rational dilation on an annulus, of Berger's dilation theorem for operators of numerical radius at most $1$, and of the Putinar-Sandberg numerical range dilation theorem. As a key tool, we prove versions of Caratheodory's and of Minkowski's theorem for matrix convex sets." @default.
- W2979371489 created "2019-10-18" @default.
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- W2979371489 date "2019-10-08" @default.
- W2979371489 modified "2023-09-23" @default.
- W2979371489 title "Dilation theory in finite dimensions and matrix convexity." @default.
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- W2979371489 hasPublicationYear "2019" @default.
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