The Helton-Howe trace formula for submodules

DOI10.1016/J.JFA.2021.108997zbMath1483.47017OpenAlexW3137295517MaRDI QIDQ2020089

Jingbo Xia, Quanlei Fang, Yi Wang

Publication date: 23 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.108997

zbMATH Keywords

trace formulasubmoduleantisymmetric sum

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (3)

Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Geometric Arveson-Douglas conjecture for the Hardy space and a related compactness criterion ⋮ Trace invariants associated with quotient modules of the Hardy module

Cites Work

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• An analytic Grothendieck Riemann Roch theorem
• Essential normality and the decomposability of algebraic varieties
• A harmonic analysis approach to essential normality of principal submodules
• Traces of commutators of integral operators
• Geometric Arveson-Douglas conjecture
• Essential normality for quotient modules and complex dimensions
• Geometric Arveson-Douglas conjecture and holomorphic extension
• Stable division and essential normality: the non-homogeneous and quasi homogeneous cases
• Ronald G. Douglas: A Master in the Art of Transcending Problems

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