On the index of invariant subspaces in spaces of analytic functions of several complex variables

DOI10.1515/crll.2005.2005.587.49zbMath1084.47001OpenAlexW2050598502MaRDI QIDQ5701251

Jim Gleason, C.-E. Sundberg, Stephan Richter

Publication date: 2 November 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2005.2005.587.49

zbMATH Keywords

Hardy spaceinvariant subspacereproducing kernelfiber dimensionessential Taylor spectrumArveson's curvature invariant

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Invariant subspaces of linear operators (47A15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

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