Higher order S-2-differentiability and application to Koplienko trace formula

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TitreHigher order S-2-differentiability and application to Koplienko trace formula
Type de publicationJournal Article
Year of Publication2019
AuteursCoine C, Le Merdy C, Skripka A, Sukochev F
JournalJOURNAL OF FUNCTIONAL ANALYSIS
Volume276
Pagination3170-3204
Date PublishedMAY 15
Type of ArticleArticle
ISSN0022-1236
Mots-clésDifferentiation of operator functions, Hilbert space factorization, Perturbation theory
Résumé

{Let A be a selfadjoint operator in a separable Hilbert space, K a selfadjoint Hilbert-Schmidt operator, and f epsilon C-n (R). We establish that phi(t) = f (A+tK) - f (A) is n-times continuously differentiable on R in the Hilbert-Schmidt norm, provided either A is bounded or the derivatives f ((i))
DOI10.1016/j.jfa.2018.09.005