An invariant subspace theorem and invariant subspaces of analytic reproducing kernel Hilbert spaces. II

DOI10.1007/s11785-015-0501-8zbMath1346.32004arXiv1310.1014OpenAlexW2964166646MaRDI QIDQ285494

Jaydeb Sarkar

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1310.1014

zbMATH Keywords

Hardy spacesinvariant subspacesweighted Bergman spacespure commuting co-spherically contractive \(n\)-tuples of operators

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36)

Related Items (15)

Operator theory on noncommutative polydomains. I. ⋮ Multivariable Beurling–Lax representations: the commutative and free noncommutative settings ⋮ Dilations, wandering subspaces, and inner functions ⋮ Characterization of pure contractive multipliers and applications ⋮ Dilations and operator models of \(\mathcal{W}\)-hypercontractions ⋮ Commutant lifting and Nevanlinna-Pick interpolation in several variables ⋮ Wandering subspaces and inner operators ⋮ Invariant subspaces for certain tuples of operators with applications to reproducing kernel correspondences ⋮ Noncommutative varieties, symmetric weighted Fock spaces, and multipliers ⋮ Doubly \(\Lambda\)-commuting row isometries, universal models, and classification ⋮ Noncommutative hyperballs, wandering subspaces, and inner functions ⋮ Operator inequalities, functional models and ergodicity ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ Submodules in polydomains and noncommutative varieties ⋮ A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor

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