Isometric dilations and von Neumann inequality for a class of tuples in the polydisc

DOI10.1090/tran/7676zbMath1475.47007arXiv1710.07624OpenAlexW2962876566WikidataQ129294029 ScholiaQ129294029MaRDI QIDQ5222871

B. Krishna Das, Jaydeb Sarkar, Sibaprasad Barik, Kalpesh J. Haria

Publication date: 4 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07624

zbMATH Keywords

von Neumann inequalitycommuting contractionsbounded analytic functionscommuting isometriesisometric dilationsHardy space over polydiscdistinguished variety

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45) Functional analysis techniques applied to functions of several complex variables (32A70) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality ⋮ Isometric dilations of commuting contractions and Brehmer positivity ⋮ Characterization of pure contractive multipliers and applications ⋮ Dilations and operator models of \(\mathcal{W}\)-hypercontractions ⋮ On dilation and commuting liftings of \(n\)-tuples of commuting Hilbert space contractions ⋮ Isometric dilations and von Neumann inequality for finite rank commuting contractions

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