A lifting theorem for unbounded quasinormal operators

DOI10.1016/j.jmaa.2006.10.068zbMath1123.47011OpenAlexW1996022317MaRDI QIDQ884343

Witold Majdak

Publication date: 6 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.068

zbMATH Keywords

quasinormal operatorsubnormal operatorminimal normal extensioncommutant lifting theorem

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

The single equality \(A^{\ast n} A^n = (A^\ast A)^n\) does not imply the quasinormality of weighted shifts on rootless directed trees ⋮ Unbounded operators having self‐adjoint, subnormal, or hyponormal powers ⋮ Unbounded quasinormal operators revisited ⋮ Unbounded products of operators and connections to Dirac-type operators ⋮ Reduced commutativity of moduli of operators ⋮ On the operator equations Aⁿ = A*A

Cites Work

• Lifting strong commutants of unbounded subnormal operators
• Nearly normal operators
• On the commuting extensions of nearly normal operators
• On normal extensions of unbounded operators. III: Spectral properties
• Subnormal operators
• Spectral Theory for Operators on a Banach Space
• $
• A Commutativity Theorem for Normal Operators
• On Normal Operators in Hilbert Space
• On a Class of Operators
• Subnormality in the quantum harmonic oscillator
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