Perturbation Formulas for Traces on C-algebras

Frank Hansen, Gert K. Pedersen

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


We introduce the Frechet differential of operator functions on C-algebras obtained via spectral theory from ordinary differentiable functions. In the finite-dimensional case this differential is expressed in terms of Hadamard products of matrices. A perturbation formula with applications to traces is given.

Original languageEnglish
Pages (from-to)169-178
Number of pages10
JournalPublications of the Research Institute for Mathematical Sciences
Issue number1
Publication statusPublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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