Generalized Toeplitz kernels and dilations of intertwining operators
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Publication:787082
DOI10.1007/BF01691923zbMath0528.47013MaRDI QIDQ787082
Publication date: 1983
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
intertwining operatorsgeneralized Toeplitz kernelslifting theorem of Nagy and Foiasminimal unitary dilation
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions on groups, semigroups, etc. (43A35)
Related Items (15)
The intertwining lifting theorem for ordered groups. ⋮ Central intertwining lifting, maximum entropy and their permanence ⋮ On some interrelations between the generalized Nehari problem for the Carathéodory class and prediction theory ⋮ Dilation of generalized Toeplitz kernels on ordered groups ⋮ Local semigroups of contractions and some applications to Fourier representation theorems ⋮ On intertwining dilations ⋮ Generalized kernels of the Toeplitz type for exponentially convex functions ⋮ Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms ⋮ Completions of matrices and the commutant lifting theorem ⋮ 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 ⋮ A theorem of Naimark, linear systems, and scattering operators ⋮ The weighted commutant lifting theorem in the coupling approach ⋮ On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions ⋮ A lifting theorem for subordinated invariant kernels
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