Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index.

DOI10.1016/S0022-1236(03)00193-9zbMath1065.46021arXivmath/0304318OpenAlexW2030644940WikidataQ59288509 ScholiaQ59288509MaRDI QIDQ1428445

Alexander Borichev, Alexander Volberg, Haakan Hedenmalm

Publication date: 29 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304318

zbMATH Keywords

Bergman spacescyclic vectorsbilaterally invariant subspacesindex of invariant subspacesweighted Hilbert spaces of sequences

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Sampling and interpolation in large Bergman and Fock spaces ⋮ Do some nontrivial closed 𝑧-invariant subspaces have the division property? ⋮ Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space ⋮ Random weighted shifts ⋮ On the minimum of harmonic functions ⋮ Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights ⋮ Invariant subspaces of finite codimension in Banach spaces of analytic functions ⋮ The spectrum of some compressions of unilateral shifts ⋮ Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences

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