Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals

DOI10.1016/j.aim.2016.02.030zbMath1359.47012arXiv1505.07173OpenAlexW2964040011MaRDI QIDQ271725

F. L. Nazarov, Vladimir V. Peller, Aleksei B. Aleksandrov

Publication date: 20 April 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07173

zbMATH Keywords

functions of noncommuting operatorsHaagerup tensor productsHaagerup-like tensor productsLipschitz type estimatesSchatten-von Neumann classestriple operator integrals

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (15)

Multiple operator integrals in perturbation theory ⋮ Functions of almost commuting operators and an extension of the Helton-Howe trace formula ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ Functions of perturbed commuting dissipative operators ⋮ Functions of perturbed pairs of noncommutative dissipative operators ⋮ Functions of perturbed noncommuting unbounded selfadjoint operators ⋮ On the Carey-Helton-Howe-Pincus trace formula ⋮ Functions of perturbed pairs of noncommuting contractions ⋮ Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation ⋮ An Elementary Approach to Operator Lipschitz Type Estimates ⋮ On a trace formula for functions of noncommuting operators ⋮ An operad of non-commutative independences defined by trees ⋮ Functions of triples of noncommuting self-adjoint operators under perturbations of class $\boldsymbol {S}_p$ ⋮ Almost commuting functions of almost commuting self-adjoint operators ⋮ When do triple operator integrals take value in the trace class?

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