Asymptotic expansions for trace functionals

We obtain Taylor approximations for functionals V↦Tr(f(H0+V)) defined on the bounded self-adjoint operators, where H0 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 represent...

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Bibliographic Details
Published in:Journal of functional analysis 2014-03, Vol.266 (5), p.2845-2866
Main Author: Skripka, Anna
Format: Article
Language:English
Subjects:
Perturbation theory
Taylor approximation
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Summary:We obtain Taylor approximations for functionals V↦Tr(f(H0+V)) defined on the bounded self-adjoint operators, where H0 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.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2013.12.021