Perturbation Formulas for Traces on -algebras

  • Frank Hansen

    University of Copenhagen, Denmark
  • Gert K. Pedersen

    University of Copenhagen, Denmark


We introduce the Frechet differential of operator functions on -aIgebras obtained via spectral theory from ordinary differentiate 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.

Cite this article

Frank Hansen, Gert K. Pedersen, Perturbation Formulas for Traces on -algebras. Publ. Res. Inst. Math. Sci. 31 (1995), no. 1, pp. 169–178

DOI 10.2977/PRIMS/1195164797