Hilbert polynomials and Arveson's curvature invariant.

DOI10.1016/S0022-1236(02)00120-9zbMath1040.47005OpenAlexW1981626725MaRDI QIDQ1868688

Xiang Fang

Publication date: 28 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00120-9

zbMATH Keywords

curvatureinvariant subspacesHilbert polynomialGauss-Bonnet-Chern formulasymmetric Fock spacecoinvariant subspaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (10)

Samuel multiplicity and the structure of semi-Fredholm operators ⋮ Euler characteristic on noncommutative polyballs ⋮ Defect operators, defect functions and defect indices for analytic submodules ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Additive invariants on the Hardy space over the polydisc ⋮ Essentially normal Hilbert modules and \(K\)-homology ⋮ Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ The Fredholm index of a pair of commuting operators. II ⋮ Curvature invariant on noncommutative polyballs

Cites Work

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• Operator theory in the Hardy space over the bidisk. I
• The Dirac operator of a commuting \(d\)-tuple.
• Localization of Hilbert modules
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• On a topology for invariant subspaces
• Geometric Invariant Theory
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Algebraic Reduction and Rigidity for Hilbert Modules

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