Commutators of Hilbert-Schmidt operators. I

DOI10.1007/BF01202521zbMath0618.47030MaRDI QIDQ1822329

Gary Weiss

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

summable seriesweighted shiftsdiagonal operatorsfinite sum of commutators of Hilbert-Schmidt operatorslogarithmic behavior of matrices

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (6)

Classification of certain commutator ideals and the tensor product closure property ⋮ An infinite dimensional Schur-Horn theorem and majorization theory ⋮ Commutators of Hilbert-Schmidt operators II ⋮ Triple derivations on von Neumann algebras ⋮ Trace-class operators and commutators ⋮ Commutator structure of operator ideals

Cites Work

• Commutators of Hilbert-Schmidt operators II
• On commutators in ideals of compact operators
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