Reductivity and bundle shifts

DOI10.1007/S11766-019-3395-9zbMath1424.47168OpenAlexW2921039343WikidataQ128219387 ScholiaQ128219387MaRDI QIDQ2422642

An Jian Xu

Publication date: 20 June 2019

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-019-3395-9

zbMATH Keywords

multiply-connected domainbundle shiftreductivity

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Hardy spaces (30H10)

Cites Work

• Confluent operator algebras and the closability property
• Transitive algebras and reductive algebras on reproducing analytic Hilbert spaces
• A class of subnormal operators related to multiply-connected domains
• Algebras containing unilateral shifts or finite-rank operators
• A density theorem for operator algebras
• Transitive operator algebras
• Bounded analytic functions
• Generalized bundle shift with application to multiplication operator on the Bergman space
• Invariant subspaces of the Dirichlet shift.
• Toeplitz Operators in Multiply Connected Regions
• Bundle Shifts and Ahlfors Functions
• Ideals and Invariant Subspaces of Analytic Functions
• Inner and Outer Functions on Riemann Surfaces
• A Sufficient Condition that an Operator Algebra be Self-Adjoint

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