Perturbation formulas for traces on \(C^*\)-algebras (Q1895310)
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scientific article; zbMATH DE number 785372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation formulas for traces on \(C^*\)-algebras |
scientific article; zbMATH DE number 785372 |
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Perturbation formulas for traces on \(C^*\)-algebras (English)
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25 January 1996
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Summary: 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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Fréchet differential
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Hadamard products of matrices
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perturbation formula
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traces
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