The Berezin and Garding Inequalities

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dc.creatorSafarov, Y.
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:55:39Z
dc.date.available2026-07-07T06:55:39Z
dc.descriptionLet F be a real-valued convex function on the complex plane, and let Ps(b) be a pseudodifferential operator with symbol b. Under certain natural assumptions about properties of pseudodifferential operators, we prove that the sum of F(z) over all eigenvalues z of the operator Ps(b) counted with their multiplicities does not exceed the real part of the trace of Ps(F(b)) modulo a term of the same order as the error term in the Garding inequality.
dc.description9pp
dc.identifierhttps://arxiv.org/abs/math/0512512
dc.identifierhttp://arxiv.org/abs/math/0512512
dc.identifierFunctional Analysis and Its Applications, 39, No. 4 (2005), 301-307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106351
dc.subjectSpectral Theory
dc.subject47A63, 47G30
dc.titleThe Berezin and Garding Inequalities
dc.typetext

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