A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem

DOI10.1007/BF02390507zbMath0484.47004OpenAlexW2801920222MaRDI QIDQ5966537

Takayuki Furuta

Publication date: 1982

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02390507

zbMATH Keywords

hyponormal operatorsFuglede-Putnam theoremHilbert-Schmidt norm inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

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• 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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