Operator integration, perturbations, and commutators

DOI10.1007/BF01099305zbMath0784.47033OpenAlexW2029539911MaRDI QIDQ1316543

Michael Solomyak, Mikhail Sh. Birman

Publication date: 22 February 1994

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099305

zbMATH Keywords

self-adjoint operatorspectral measureintegral representationscommutatorss-numbersanti-commutators

Mathematics Subject Classification ID

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) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (3)

Mikhail Zakharovich Solomyak (obituary) ⋮ Multidimensional operator multipliers ⋮ Stability of logarithmic Sobolev inequalities under a noncommutative change of measure

Cites Work

• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• An estimate of the norm |f(B)-f(A)| for self-adjoint operators A and B
• On Lipschitz Functions of Normal Operators
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
• Continuity of the map $S \to \left| S \right|$ for linear operators
• Counterexample to a Question on Commutators
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