Operator Theory and Complex Geometry

zbMath1207.46024arXiv0710.1880MaRDI QIDQ3560878

Ronald G. Douglas

Publication date: 14 May 2010

Full work available at URL: https://arxiv.org/abs/0710.1880

zbMATH Keywords

Hardy spaceBergman spacecurvature invariantvon Neumann inequalitySilov boundaryanalytic Hilbert module

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Local analytic geometry (32B99) Holomorphic bundles and generalizations (32L05) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Restriction of Toeplitz operators on their reducing subspaces ⋮ Multiplication operators on the Bergman space via analytic continuation ⋮ Jörg Eschmeier's mathematical work ⋮ Bundle shifts and Toeplitz operators on \(\mathcal{N}_{\psi}\)-type quotient modules of the tridisc ⋮ Module tensor product of subnormal modules need not be subnormal ⋮ Reducing subspaces of analytic Toeplitz operators on the Bergman space of the annulus ⋮ On similarity and commutant of a class of multiplication operators on the Dirichlet space

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