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

DOI10.1017/S0004972700005190zbMath0478.47006OpenAlexW2088467175MaRDI QIDQ5905017

Takayuki Furuta

Publication date: 1982

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700005190

zbMATH Keywords

quasinormal operatorhyponormal operatorsubnormal operatorcommutatorHilbert-Schmidt normFuglede property

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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)

Related Items (2)

Generalized Fuglede-Putnam theorem and Hilbert-Schmidt norm inequality ⋮ On dominant operators

Cites Work

• Unnamed Item
• On a Theorem of Fuglede and Putnam^†
• Note on a Theorem of Fuglede and Putnam
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• Extensions of a Theorem of Fuglede and Putnam
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
• On Normal Operators in Hilbert Space

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