Perturbation Formulas for Traces on C-algebras

Frank Hansen, Gert K. Pedersen

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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
Volume31
Issue number1
DOIs
Publication statusPublished - 1995 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Perturbation Formulas for Traces on C<sup>∗</sup>-algebras'. Together they form a unique fingerprint.

  • Cite this