Dilation theory: a guided tour
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Publication:1980934
DOI10.1007/978-3-030-51945-2_28zbMath1494.47012arXiv2002.05596OpenAlexW3005645890MaRDI QIDQ1980934
Publication date: 9 September 2021
Full work available at URL: https://arxiv.org/abs/2002.05596
dilationscompletely positive mapsCP-semigroupsunitary dilationisometric dilationmatrix convex sets\(q\)-commuting unitaries
Noncommutative dynamical systems (46L55) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Operator spaces and completely bounded maps (46L07) Dilations, extensions, compressions of linear operators (47A20) Operator spaces (= matricially normed spaces) (47L25) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Related Items (5)
Characterisations of dilations via approximants, expectations, and functional calculi ⋮ Powers of defective matrices from diagonalizable dilations ⋮ Dilations of commuting \(C_0\)-semigroups with bounded generators and the von Neumann polynomial inequality ⋮ A caricature of dilation theory ⋮ Dilations of unitary tuples
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