Boundary behavior in Hilbert spaces of vector-valued analytic functions

DOI10.1016/j.jfa.2007.02.006zbMath1127.46025OpenAlexW2091906701MaRDI QIDQ886123

Marcus Carlsson

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.02.006

zbMATH Keywords

invariant subspacesindexnon-tangential limitsvector-valued analytic functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (2)

On the index of invariant subspaces in Hilbert spaces of vector-valued analytic functions ⋮ Linear graph transformations on spaces of analytic functions

Cites Work

• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Simply invariant subspaces of \(H^2\) of some multiply connected regions
• Nontangential limits in \(P^t(\mu )\)-spaces and the index of invariant subgroups
• Wold-type decompositions and wandering subspaces for operators close to isometries
• Analytic contractions, nontangential limits, and the index of invariant subspaces
• The Minimal Normal Extension for M z on the Hardy Space of a Planar Region
• On the failure of optimal factorization for certain weighted bergman spaces
• Complex geometry and operator theory
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