Transference of metrics induced by unitary couplings, a Sarason theorem for the bidimensional torus, and a Sz.-Nagy-Foias theorem for two pairs of dilations

DOI10.1006/JFAN.1993.1022zbMath0781.47017OpenAlexW2020510631MaRDI QIDQ1207159

Cora Sadosky, Mischa Cotlar

Publication date: 28 April 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1993.1022

zbMATH Keywords

invariant subspacesunitary operatorstransferenceunitary couplinglifting theorem for invariant formsscattering systems with one or two evolution groupssemiunitary operatorsWold-Kolmogorov decomposition

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Scattering theory of linear operators (47A40)

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Dilation of generalized Toeplitz kernels on ordered groups ⋮ Generalized Bochner theorem and Levy-Khinchine representation for completely positive definite generalized Toeplitz kernels ⋮ Equivalence between the dilation and lifting properties of an ordered group through multiplicative families of isometries. A version of the commutant lifting theorem on some lexicographic groups ⋮ Interpolation and prediction problems for connected compact abelian groups ⋮ Extensions of operator valued positive definite functions and commutant lifting on ordered groups ⋮ Isometric dilations and von Neumann inequality for a class of tuples in the polydisc ⋮ Carathéodory interpolation on the non-commutative polydisk ⋮ Abstract, weighted, and multidimensional Adamjan-Arov-Krein theorems, and the singular numbers of Sarason commutants

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