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.
|Number of pages||10|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - 1995 Jan 1|
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