Invariant subspaces for a class of complete Pick kernels

DOI10.1090/S0002-9939-05-07940-2zbMath1080.47025OpenAlexW1554745510MaRDI QIDQ5313340

Michael T. Jury

Publication date: 29 August 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07940-2

zbMATH Keywords

cyclic vectorinvariant spacePick kernel

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Cyclic vectors, hypercyclic and chaotic operators (47A16) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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Cites Work

• The majorization function and the index of invariant subspaces in the Bergman spaces.
• Complete Nevanlinna-Pick kernels
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• Invariant subspaces and Nevanlinna-Pick kernels
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• Invariant subspaces and unstarred operator algebras
• Weak-star generators of \(H^ \infty\)
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Generalized Interpolation in H ∞
• Complex geometry and operator theory
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