Generalized Fuglede-Putnam theorem and Hilbert-Schmidt norm inequality

DOI10.3792/pjaa.58.55zbMath0501.47008OpenAlexW1992890086MaRDI QIDQ1172261

Takayuki Furuta

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.55

zbMATH Keywords

Hilbert-Schmidt classhyponormal operatorFuglede-Putnam theorem*-commutatorHilbert-Schmidt norm inequality

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Subnormal operators, hyponormal operators, etc. (47B20)

Cites Work

• On a Theorem of Fuglede and Putnam^†
• Note on a Theorem of Fuglede and Putnam
• Normality can be Relaxed in the Asymptotic Fuglede-Putnum Theorem
• An Extension of the Fuglede-Putnam Theorem to Subnormal Operators Using a Hilbert-Schmidt Norm Inequality
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• On Normal Operators in Hilbert Space
• On intertwining by an operator having a dense range
• A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem
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