Dilations, wandering subspaces, and inner functions

DOI10.1016/j.laa.2017.02.032OpenAlexW2963267167MaRDI QIDQ2400257

Jörg Eschmeier, Jaydeb Sarkar, Monojit Bhattacharjee, Dinesh Kumar Keshari

Publication date: 28 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07084

zbMATH Keywords

reproducing kernel Hilbert spacesmultipliersdilationsDrury-Arveson spaceinner functionswandering subspacesjoint invariant subspaces

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) 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)

Related Items (16)

Operator theory on noncommutative polydomains. I. ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Factorizations induced by complete Nevanlinna-Pick factors ⋮ Characterization of pure contractive multipliers and applications ⋮ Jörg Eschmeier's mathematical work ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ Invariant subspaces for certain tuples of operators with applications to reproducing kernel correspondences ⋮ Dirichlet-type spaces on the unit ball and joint 2-isometries ⋮ Spectra of quotient modules ⋮ Wandering subspace property for homogeneous invariant subspaces ⋮ Noncommutative hyperballs, wandering subspaces, and inner functions ⋮ \(K\)-inner functions and \(K\)-contractions ⋮ Bergman inner functions and \(m\)-hypercontractions ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor ⋮ Left-invertibility of rank-one perturbations

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