Taylor approximations of operator functions

zbMath1343.47018arXiv1302.7105MaRDI QIDQ2944078

Anna Skripka

Publication date: 7 September 2015

Full work available at URL: https://arxiv.org/abs/1302.7105

zbMATH Keywords

perturbation theoryTaylor approximation

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Linear operator approximation theory (47A58) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Remainders in approximation formulas (41A80)

Related Items (8)

Estimates and trace formulas for unitary and resolvent comparable perturbations ⋮ Asymptotically efficient estimation of smooth functionals of covariance operators ⋮ HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS ⋮ Higher order \(\mathcal{S}^2\)-differentiability and application to Koplienko trace formula ⋮ Trace formulas for relative Schatten class perturbations ⋮ On a perturbation determinant for accumulative operators ⋮ Functions of unitary operators: derivatives and trace formulas ⋮ Trace formulas for multivariate operator functions

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