The minimal normal extension problem for subnormal operators

DOI10.1016/0022-1236(86)90022-4zbMath0585.47017OpenAlexW2022250212MaRDI QIDQ1071233

James J. Dudziak

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90022-4

zbMATH Keywords

functional calculusscalar-valued spectral measurefunction-theoretic problemhypodirichletsubnormal operator with minimal normal extension

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Subnormal operators, hyponormal operators, etc. (47B20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (6)

A Weak-Star Rational Approximation Problem Connected with Subnormal Operators ⋮ Weak-star closed algebras containing R(K) ⋮ Towards a Functional Calculus for Subnormal Tuples: The Minimal Normal Extension ⋮ On a Minimal Normal Dilation Problem ⋮ A Note on a Theorem of Ahern and Sarason ⋮ A Stone-Weierstrass theorem for weak-star approximation by rational functions

Cites Work

• Spectral mapping theorems for subnormal operators
• Functional relationships between a subnormal operator and its minimal normal extension
• Weakly closed algebras of subnormal operators
• The \(H^ p\) spaces of a class of function algebras
• Pointwise bounded approximation and Dirichlet algebras
• A functional calculus for subnormal operators. II
• ON THE GLEASON PARTS OF THE ALGEBRA $ R(X)$
• Pointwise bounded approximation and hypodirichlet algebras
• Bounded approximation by rational functions
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