Estimates for the difference of fractional powers of selfadjoint operators in the case of unbounded perturbations

DOI10.1007/BF01095665zbMath0784.47011OpenAlexW2086864837MaRDI QIDQ1316560

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/bf01095665

zbMATH Keywords

Schrödinger operatorsselfadjoint operatorSchatten p-normestimation of double operator integralsinequalities for Hilbert space operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (5)

Homogenization of the higher-order hyperbolic equations with periodic coefficients ⋮ Connes' integration and Weyl's laws ⋮ Operator error estimates in the homogenization problem for nonstationary periodic equations ⋮ Operator \(\theta\)-Hölder functions ⋮ On the mathematical work of M. Sh. Birman

Cites Work

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• Functional calculus of pseudo-differential boundary problems
• Asymptotics of the spectrum of variational problems on solutions of elliptic equations

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