The majorization function and the index of invariant subspaces in the Bergman spaces.

DOI10.1007/BF02786647zbMath1039.46023OpenAlexW2027271247MaRDI QIDQ698319

Alexandru Aleman, Stephan Richter, C.-E. Sundberg

Publication date: 13 May 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786647

zbMATH Keywords

Bergman spaceinvariant subspaceindex

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (11)

Invariant subspaces for a class of complete Pick kernels ⋮ Cyclic vectors in Bergman spaces ⋮ Additive invariants on the Hardy space over the polydisc ⋮ Invariant subspaces of finite codimension in Banach spaces of analytic functions ⋮ The jumping operator on invariant subspaces in spaces of analytic functions ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces ⋮ A Beurling–Lax–Halmos theorem for spaces with a complete Nevanlinna–Pick factor ⋮ On the index of invariant subspaces in Hilbert spaces of vector-valued analytic functions ⋮ An expansive multiplier property for operator-valued Bergman inner functions ⋮ Analytic contractions, nontangential limits, and the index of invariant subspaces ⋮ Linear graph transformations on spaces of analytic functions

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