Some Trace Class Commutators of Trace Zero

DOI10.2307/2048599zbMath0761.47007OpenAlexW4253782913MaRDI QIDQ3982122

Fuad Kittaneh

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2048599

zbMATH Keywords

trace classcommutatorHilbert Schmidt 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) 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) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (2)

The trace of the commutator of the Cesàro operator and a compact operator ⋮ Traces of Commutators of Integral Operators – the Aftermath

Cites Work

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• Operator valued roots of Abelian analytic functions
• Traces of commutators of integral operators
• Norm inequalities for partitioned operators and an application
• On roots of normal operators
• Sets of Essentially Unitary Operators
• Inequalities for the Schatten P-norm
• On zero-trace commutators
• Inequalities for the Schatten p-norm II
• Roots of Scalar Operators
• The Fuglede Commutativity Theorem Modulo Operator Ideals
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I
• Selfcommutators of multicyclic hyponormal operators are always trace class
• The Cesaro Operator in ℓ 2 is Subnormal
• Linear preservers on upper triangular operator matrix algebras

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