Localization of Hilbert modules

DOI10.1307/mmj/1029004599zbMath0807.46060OpenAlexW2034106897MaRDI QIDQ1803917

Xiaoman Chen, Ronald G. Douglas

Publication date: 29 June 1993

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029004599

zbMATH Keywords

localizationunitary equivalencealgebra of holomorphic functions on a bounded connected domainCowen- Douglas theoryHilbert modules over a function algebra with jointly continuous multiplicationmethod of localization

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (13)

Equivalence of quotient Hilbert modules ⋮ On reducing submodules of Hilbert modules with \(\mathfrak{S}_n\)-invariant kernels ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ The graded structure induced by operators on a Hilbert space ⋮ Geometric invariants for a class of submodules of analytic Hilbert modules via the sheaf model ⋮ Curvature invariant and generalized canonical operator models. II ⋮ A local theory for operator tuples in the Cowen-Douglas class ⋮ Equivalence of quotient Hilbert modules–II ⋮ On unitary invariants of quotient Hilbert modules Along smooth complex analytic sets ⋮ On quotient modules -- the case of arbitrary multiplicity ⋮ The curvature invariant of a Hilbert module over ℂ [z1, ..., zd] ⋮ Curvature Invariant and Generalized Canonical Operator Models – I ⋮ Hilbert polynomials and Arveson's curvature invariant.

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