Dilations and operator models of \(\mathcal{W}\)-hypercontractions

DOI10.1007/s11785-022-01314-8OpenAlexW4313641662MaRDI QIDQ2679106

Monojit Bhattacharjee, Ramlal Debnath, B. Krishna Das, Samir Panja

Publication date: 19 January 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01314-8

zbMATH Keywords

characteristic functionweighted shiftcommuting contractionsbounded analytic functionshypercontractionBergman space over the polydisc

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) 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) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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