Towards a Functional Calculus for Subnormal Tuples: The Minimal Normal Extension

DOI10.2307/2001773zbMath0754.47018OpenAlexW4247624614MaRDI QIDQ3977221

John B. Conway

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001773

zbMATH Keywords

von Neumann algebraminimal normal extensiondisintegration of measuresmultiplication operators on the Bergman spacecommuting subnormal operatorscyclic minimal normal extensionstensor products of subnormal operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Tensor products of linear operators (47A80)

Related Items (9)

\(A\)-isometries and Hilbert-\(A\)-modules over product domains ⋮ On pure subnormal operators with finite rank self-commutators and related operator tuples ⋮ A commutator formula for subnormal tuples of operators ⋮ Hypercyclic tuples of operators and somewhere dense orbits ⋮ Inner functions and spherical isometries ⋮ On the essential commutant of analytic Toeplitz operators associated with spherical isometries ⋮ On a Minimal Normal Dilation Problem ⋮ Toeplitz projections and essential commutants ⋮ Trace formulas for a class of subnormal tuples of operators

Cites Work

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• Functional relationships between a subnormal operator and its minimal normal extension
• A Stone-Weierstrass theorem for weak-star approximation by rational functions
• Adhérence faible étoilé d'algèbres de fractions rationnelles
• The analytic-functional calculus for several commuting operators
• Holomorphic Kernels and Commuting Operators
• Measures Orthogonal to Algebras and Sets of Antisymmetry
• Spectral Inclusion for Doubly Commuting Subnormal n-Tuples
• A functional calculus for subnormal operators. II
• A Weak-Star Rational Approximation Problem Connected with Subnormal Operators
• Weak-star density of polynomials.

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