Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces

DOI10.1016/j.jfa.2010.01.021zbMath1190.47087OpenAlexW2014597167MaRDI QIDQ973957

Kunyu Guo, Kai Wang, Guozheng Cheng

Publication date: 26 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.01.021

zbMATH Keywords

fiber dimensioncomplete NP kernelreductive algebra propertytransitive algebra property

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Reductivity and bundle shifts ⋮ A generalization of the cellular indecomposable property via fiber dimension ⋮ Reducing subspaces of multiplication operators on function spaces ⋮ Fiber dimension for invariant subspaces ⋮ Linear graph transformations on spaces of analytic functions ⋮ Invariant domains in the Hardy space over the unit disk

Cites Work

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• The Fredholm index of quotient Hilbert modules
• Confluent operator algebras and the closability property
• The Fredholm index of a pair of commuting operators. II
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Invariant subspaces and Nevanlinna-Pick kernels
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• Hilbert polynomials and Arveson's curvature invariant.
• Samuel multiplicity and the structure of semi-Fredholm operators
• Algebras containing unilateral shifts or finite-rank operators
• On transitive algebras containing a standard finite von Neumann subalgebra
• Additive invariants on the Hardy space over the polydisc
• The Fredholm index of a pair of commuting operators
• A density theorem for operator algebras
• Hyperinvariant subspaces and transitive algebras
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Reductive Algebras Containing a Direct Sum of the Unilateral Shift and a Certain other Operator are Selfadjoint
• Invariant subspaces of the Dirichlet shift.
• On Reductive Algebras Containing Compact Operators
• A Generalization of Von Neumann's Inequality to the Complex Ball
• Invariant subspaces of the Dirichlet space and commutative algebra
• A Sufficient Condition that an Operator Algebra be Self-Adjoint
• On the index of invariant subspaces in spaces of analytic functions of several complex variables

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