Lifting strong commutants of unbounded subnormal operators

DOI10.1007/BF01200253zbMath1006.47025OpenAlexW2032495474MaRDI QIDQ1611033

Jan Stochel

Publication date: 12 March 2003

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

Full work available at URL: https://doi.org/10.1007/bf01200253

zbMATH Keywords

subnormal operatorsselfadjoint extensionpure subnormal operatorsirreducible subnormal operatorslifting strong commutants of unbounded subnormal operatorsminimal normal extensions of cyclic type

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (11)

A lifting theorem for unbounded quasinormal operators ⋮ Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ A subnormal weighted shift on a directed tree whose \(n\)th power has trivial domain ⋮ Unbounded operators having self‐adjoint, subnormal, or hyponormal powers ⋮ A local lifting theorem for jointly subnormal families of unbounded operators ⋮ On \(n\)th roots of bounded and unbounded quasinormal operators ⋮ Unbounded quasinormal operators revisited ⋮ An asymmetric Putnam–Fuglede theorem for unbounded operators ⋮ Subnormal operators whose adjoints have rich point spectrum ⋮ Unbounded subnormal composition operators in \(L^2\)-spaces ⋮ On the operator equations Aⁿ = A*A

Cites Work

• Commutative algebras of unbounded operators
• Irreducible operators whose spectra are spectral sets
• On unbounded hyponormal operators. II
• Moment functions on real algebraic sets
• Subnormal weighted shifts and related function spaces
• Generalized projections and reducible subnormal operators
• Subnormal weighted shifts and related function spaces. II
• A note on a result of J. Bram
• The complex moment problem and subnormality: A polar decomposition approach
• On some classes of unbounded operators
• On unbounded hyponormal operators
• Subnormal operator with a cyclic vector
• On normal extensions of unbounded operators. III: Spectral properties
• Subnormal operators
• On the Spectral Picture of an Irreducible Subnormal Operator
• On the Spectra of Unbounded Subnormal Operators
• Spectral Theory for Subnormal Operators
• On unbounded hyponormal operators III
• Positive definiteness and commutativity of operators
• Shorter Notes: A Formally Normal Operator having no Normal Extension
• Formally Normal Operators Having no Normal Extensions
• The Local Spectral Behavior of Completely Subnormal Operators
• A Commutativity Theorem for Normal Operators
• Subnormality in the quantum harmonic oscillator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lifting strong commutants of unbounded subnormal operators