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Classes of operator-smooth functions. II: Operator-differentiable functions

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Publication:1882431
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DOI10.1007/s00020-002-1201-0zbMath1061.47013OpenAlexW1989304079MaRDI QIDQ1882431

Viktor S. Shul'man, Edward Kissin

Publication date: 1 October 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-002-1201-0


zbMATH Keywords

symmetrically normed idealsFréchet \(J\)-differentiable functionsGâteaux \(J\)-differentiable functions


Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Operator ideals (47L20) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)


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Perturbation theory and higher order \(\mathcal{S}^{p}\)-differentiability of operator functions ⋮ Asymptotically efficient estimation of smooth functionals of covariance operators ⋮ Lipschitz functions, Schatten ideals, and unbounded derivations ⋮ HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS



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