The Fredholm index of a pair of commuting operators

DOI10.1007/s00039-006-0561-zzbMath1105.47008arXivmath/0508061OpenAlexW2004591206MaRDI QIDQ2499332

Xiang Fang

Publication date: 14 August 2006

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508061

zbMATH Keywords

Hilbert moduleSamuel multiplicityHilbert polynomialssymmetric Fock spaceArveson curvature

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) (Semi-) Fredholm operators; index theories (47A53) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (12)

An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Joint torsion of several commuting operators ⋮ Estimates for Hilbertian Koszul homology ⋮ A generalization of the cellular indecomposable property via fiber dimension ⋮ Additive invariants on the Hardy space over the polydisc ⋮ Essentially normal Hilbert modules and \(K\)-homology ⋮ Samuel multiplicity and Fredholm theory ⋮ Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces ⋮ The Fredholm index of a pair of commuting operators. II ⋮ Fiber dimension for invariant subspaces ⋮ A transformation rule for the index of commuting operators

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