Finite Codimensional Invariant Subspaces of Bergman Spaces

DOI10.2307/2000824zbMath0658.47011OpenAlexW4237498726MaRDI QIDQ3806220

Sheldon Axler, Paul S. Bourdon

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000824

zbMATH Keywords

finite codimensional subspaces of the Bergman space that are invariant under multiplication by all the coordinate functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (10)

On the Dirichlet Space for Finitely Connected Regions ⋮ A Question on Invariant Subspaces of Bergman Spaces ⋮ The commutant of rationally cyclic subnormal operators and rational approximation ⋮ The root operator on finite zero based invariant subspaces of the weighted Bergman space ⋮ Spectrum of weighted composition operators. V: Spectrum and essential spectra of weighted rotation-like operators ⋮ Finite rank little Hankel operators on $L_{a}^{2}(mathbb{U}_{+})$ ⋮ Invariant Subspaces with Finite Codimension in Bergman Spaces ⋮ Weighted composition-differentiation operators on the Bergman space ⋮ Finite codimensional invariant subspaces of Banach spaces of analytic functions ⋮ Fredholm multiplication and composition operators on the Hardy space

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