On certain commuting isometries, joint invariant subspaces and \(C^\ast \)-algebras

DOI10.1007/978-3-030-43380-2_8OpenAlexW2971354013MaRDI QIDQ2220154

Jaydeb Sarkar, Ramlal Debnath, B. Krishna Das

Publication date: 21 January 2021

Full work available at URL: https://arxiv.org/abs/1711.00769

zbMATH Keywords

unilateral shiftcommuting isometriesjoint invariant subspaces\(C^\ast \)-algebrasfinite codimensional subspacesHardy space over unit polydisc

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Structure theory of linear operators (47A65) 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) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in (C^*)- or von Neumann algebras (47C15)

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