Analytic structures for subnormal operators

DOI10.1007/BF01193759zbMath0699.47013OpenAlexW1987306569MaRDI QIDQ913210

John E. McCarthy

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01193759

zbMATH Keywords

commutantanalytic structurealgebra of operators leaving invariant every invariant subspaceanalytic extensionshypo-Dirichlet algebrasnecessarily cyclicreductive normal operatorsultrareflexive subnormal operator must be star- cyclic, but not necessarily cyclicultrareflexive subnormal operator must be star-cyclic, but notultrareflexivitiyweak- star continuous point evaluationsweak-operator closure of polynomials

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Subalgebras of commutative topological algebras (46J30)

Related Items (2)

Approximation in the mean by rational functions ⋮ Beurling's theorem and invariant subspaces for the shift on Hardy spaces

Cites Work

• Cellular-indecomposable subnormal operators
• Cellular-indecomposable subnormal operators. II
• What kind of operators have few invariant subspaces?
• Point evaluations, invariant subspaces and approximation in the mean by polynomials
• Algebras of subnormal operators
• Subnormal weighted shifts and related function spaces
• Weakly closed algebras of subnormal operators
• The \(H^ p\) spaces of a class of function algebras
• Embedding Riemann surfaces in maximal ideal spaces
• Subnormal operator with a cyclic vector
• Invariant subspaces and rational approximation
• Subnormal operators
• A Structure Theorem for the Commutant of a Class of Cyclic Subnormal Operators
• On Some Hypo-Dirichlet Algebras of Analytic Functions
• Weak-star density of polynomials.

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