An Extension of the Fuglede-Putnam Theorem to Subnormal Operators Using a Hilbert-Schmidt Norm Inequality

DOI10.2307/2044202zbMath0458.47020OpenAlexW4237349549MaRDI QIDQ3908069

Takayuki Furuta

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044202

zbMATH Keywords

Hilbert-Schmidt classhyponormal operatorsubnormal operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (13)

Some consequences of Putinar's model of hyponormal operators concerning Hilbert-Schmidt commutators ⋮ Extensions of the Fuglede-Putnam-type theorems to subnormal operators ⋮ The Berberian's transform and an asymmetric Putnam-Fuglede theorem ⋮ Fuglede-Putnam type theorems via the Aluthge transform ⋮ Fuglede-Putnam theorem for \((\alpha,\beta)\)-normal operators ⋮ On Generalized Fuglede-Putnam Theorems of Hilbert-Schmidt Type ⋮ Generalized Fuglede-Putnam theorem and Hilbert-Schmidt norm inequality ⋮ An asymmetric Putnam–Fuglede theorem for unbounded operators ⋮ Some estimates of certain subnormal and hyponormal derivations ⋮ On generalised Putnam-Fuglede theorems ⋮ Asymmetric Putnam-Fuglede theorem for \((n,k)\)-quasi-\(\ast\)-paranormal operators ⋮ Asymmetric Fuglede-Putnam theorem for unbounded \(M\)-hyponormal operators ⋮ A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity

Cites Work

• Unnamed Item
• On a Theorem of Fuglede and Putnam^†
• Note on a Theorem of Fuglede and Putnam
• Shifts on Hilbert spaces.
• The Fuglede Commutativity Theorem Modulo Operator Ideals
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• Extensions of a Theorem of Fuglede and Putnam
• On Normal Operators in Hilbert Space

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