Essential normality of homogeneous submodules

DOI10.1007/s00020-010-1809-4zbMath1232.47005arXiv0912.4182OpenAlexW1977903300MaRDI QIDQ628688

Jörg Eschmeier

Publication date: 14 March 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4182

zbMATH Keywords

Schatten classessentially normalHilbert module over the polynomial ringhomogeneous submodulesymmetric Fock space

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (13)

Approximate representation of Bergman submodules ⋮ Applications of Hilbert Module Approach to Multivariable Operator Theory ⋮ On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Rigidity theorems for spherical hyperexpansions ⋮ Jörg Eschmeier's mathematical work ⋮ The isomorphism problem for some universal operator algebras ⋮ Essential normality of polynomial-generated submodules: Hardy space and beyond ⋮ A harmonic analysis approach to essential normality of principal submodules ⋮ Stable division and essential normality: the non-homogeneous and quasi homogeneous cases ⋮ On the essential normality of principal submodules of the Drury-Arveson module ⋮ Essential normality and the decomposability of homogeneous submodules ⋮ Some Remarks on Essentially Normal Submodules ⋮ Essential normality, essential norms and hyperrigidity

Cites Work

• Grothendieck's comparison theorem and multivariable Fredholm theory
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• The Dirac operator of a commuting \(d\)-tuple.
• Essentially normal Hilbert modules and \(K\)-homology
• Quotients of standard Hilbert modules
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Essentially Reductive Weighted Shift Hilbert Modules
• Stable polynomial division and essential normality of graded Hilbert modules
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