The commutant of rationally cyclic subnormal operators and rational approximation

DOI10.1007/BF01324733zbMath0899.47015MaRDI QIDQ1378044

James Zhijian Qiu

Publication date: 4 March 1998

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

zbMATH Keywords

harmonic measurerational approximationcommutantrationally cyclic subnormal operatorsanalytic point evaluations

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Spaces of bounded analytic functions of one complex variable (30H05) Approximation in the complex plane (30E10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Carleson measures on planar sets ⋮ Approximation in the mean by rational functions ⋮ On quasi-similarity of subnormal operators ⋮ Xia's analytic model of a subnormal operator and its applications

Cites Work

• Harmonic measure and arclength
• \(H^2(\mu)\) spaces and bounded point evaluations
• Analytic bounded point evaluations for spaces of rational functions
• Boundary values of analytic functions in the Banach space \(P^ t(\sigma)\) on crescents
• The commutant of mulitplication by \(z\) on the closure of polynomials in \(L^ t(\mu)\)
• Dirichlet algebras of analytic functions
• Finite Codimensional Invariant Subspaces of Bergman Spaces
• Subnormal operators and representations of algebras of bounded analytic functions and other uniform algebras
• Constructive Techniques in Rational Approximation
• Weak-star density of polynomials.
• Approximation in the mean by polynomials
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