Article ID Journal Published Year Pages File Type
4590256 Journal of Functional Analysis 2014 22 Pages PDF
Abstract

We obtain Taylor approximations for functionals V↦Tr(f(H0+V))V↦Tr(f(H0+V)) defined on the bounded self-adjoint operators, where H0H0 is a self-adjoint operator with compact resolvent and f is a sufficiently nice scalar function, relaxing assumptions on the operators made in [17], and derive estimates and representations for the remainders of these approximations.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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