Invariant subspaces, quasi-invariant subspaces, and Hankel operators.

DOI10.1006/jfan.2001.3820zbMath1045.47022OpenAlexW2042520351MaRDI QIDQ5957479

DeChao Zheng, Kunyu Guo

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3820

zbMATH Keywords

Bergman spaceinvariant subspacequasi-invariant subspaceSegal-Bargmann spacesmall Hankel operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Bergman spaces of functions in several complex variables (32A36) Entire functions of several complex variables (32A15)

Related Items (19)

Notes on ordered reproducing Hilbert spaces over the complex plane ⋮ Toeplitz algebras, subnormal tuples and rigidity on reproducing \(C[z_{1},\dots ,z_{d}\)-modules] ⋮ Algebraic properties of small Hankel operators on the harmonic Bergman space ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ Cyclic vectors in the Fock space over the complex plane ⋮ Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space ⋮ Cyclic vectors in Fock-type spaces in multi-variable case ⋮ Helson operators and coinvariant subspaces ⋮ The product of small Hankel operators on the Bergman space ⋮ Classification of Hardy submodules and characteristic space theory. (A brief and selective survey). ⋮ Beurling’s phenomenon on analytic Hilbert spaces over the complex plane ⋮ Ordered reproducing Hilbert spaces over \(\mathbb C^2\) ⋮ Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces ⋮ Cyclic vectors in Fock-type spaces of single variable ⋮ Kernels and ranks of Hankel operators on the Dirichlet spaces ⋮ Extremal problems in the Fock space ⋮ Homogeneous quasi-invariant subspaces of the fock space ⋮ Polynomials having leading terms over \(\mathbb C^2\) in the Fock space ⋮ Analytic Hilbert spaces over the complex plane

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