Characteristic spaces and rigidity for analytic Hilbert modules

DOI10.1006/jfan.1998.3380zbMath0937.46047OpenAlexW1965503874MaRDI QIDQ1284441

Kunyu Guo

Publication date: 13 June 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a55bf1f3992041697f1051f6a53b743e9f4a9cb2

zbMATH Keywords

rigidityanalytic Hilbert modulescharacteristic spaces

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (18)

Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules] ⋮ Defect operators, defect functions and defect indices for analytic submodules ⋮ Kreĭn space representation and Lorentz groups of analytic Hilbert modules ⋮ Analytic extension of functions from analytic Hilbert spaces ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ The graded structure induced by operators on a Hilbert space ⋮ Classification of Hardy submodules and characteristic space theory. (A brief and selective survey). ⋮ Star-generating vectors of Rudin's quotient modules ⋮ Beurling’s phenomenon on analytic Hilbert spaces over the complex plane ⋮ Cyclic vectors, outer functions and Mahler measure in two variables ⋮ Essentially normal Hilbert modules and \(K\)-homology ⋮ Invariant subspaces of finite codimension in Banach spaces of analytic functions ⋮ Invariant subspaces, quasi-invariant subspaces, and Hankel operators. ⋮ Boundary representations and rigidity of submodules ⋮ Homogeneous quasi-invariant subspaces of the fock space ⋮ Polynomials having leading terms over \(\mathbb C^2\) in the Fock space ⋮ Equivalence of Hardy submodules generated by polynomials ⋮ Analytic Hilbert spaces over the complex plane

Cites Work

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• On invariant subspaces of several variable Bergman spaces
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• On the rigidity of Hardy submodules
• Invariant subspaces of \(H^ 2\) on a torus
• Invariant subspaces in the polydisk
• Unitary equivalence of invariant subspaces in the polydisk
• Algebraic Reduction and Rigidity for Hilbert Modules

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