Publications of the Research Institute for Mathematical Sciences
Online ISSN : 1663-4926
Print ISSN : 0034-5318
Perturbation Formulas for Traces on C*-algebras
Frank HansenGert K. Pedersen
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ジャーナル フリー

1995 年 31 巻 1 号 p. 169-178

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We introduce the Fréchet 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.
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