Multiple operator integrals and higher operator derivatives

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dc.creatorPeller, V. V.
dc.date2005-05-26
dc.date2005-05-27
dc.date.accessioned2026-07-07T05:20:16Z
dc.date.available2026-07-07T05:20:16Z
dc.descriptionIn this paper we consider the problem of the existence of higher derivatives of the function $t\mapsto\f(A+tK)$, where $\f$ is a function on the real line, $A$ is a self-adjoint operator, and $K$ is a bounded self-adjoint operator. We improve earlier results by Sten'kin. In order to do this, we give a new approach to multiple operator integrals. This approach improves the earlier approach given by Sten'kin. We also consider a similar problem for unitary operators.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0505555
dc.identifierhttp://arxiv.org/abs/math/0505555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75319
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject47A55, 47A63, 46E35
dc.titleMultiple operator integrals and higher operator derivatives
dc.typetext

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