Asymptotic expansions for trace functionals

作者:Skripka Anna*
来源:Journal of Functional Analysis, 2014, 266(5): 2845-2866.
DOI:10.1016/j.jfa.2013.12.021

摘要

We obtain Taylor approximations for functionals V bar right arrow Tr(f (H-0 + V)) defined on the bounded self-adjoint operators, where H-0 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.

  • 出版日期2014-3-1