Operator Theory on Symmetrized Bidisc

DOI10.1512/iumj.2015.64.5541zbMath1330.47016arXiv1207.1862OpenAlexW2964298738MaRDI QIDQ2947201

Jaydeb Sarkar

Publication date: 22 September 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1862

zbMATH Keywords

dilationHilbert modulesspectral setssymmetrized bidisccommutant lifting theoremBeurling-Lax-Halmos theoremcanonical functional model

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Numerical range, numerical radius (47A12) Invariant subspaces of linear operators (47A15) 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) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral sets of linear operators (47A25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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