Peller's problem concerning Koplienko–Neidhardt trace formulae: the unitary case

Autor:	Clément Coine, Christian Le Merdy, Fedor Sukochev, Denis Potapov, Anna Tomskova
Rok vydání:	2016
Předmět:	Pure mathematics Class (set theory) Trace (linear algebra) Nuclear operator Operator (physics) 010102 general mathematics Space (mathematics) 01 natural sciences Unitary state 010101 applied mathematics Unit circle Unitary operator 0101 mathematics Analysis Mathematics
Zdroj:	Journal of Functional Analysis. 271:1747-1763
ISSN:	0022-1236
DOI:	10.1016/j.jfa.2016.05.015
Popis:	We prove the existence of a C2-function f:T→C defined on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert–Schmidt class S2, such that f(eiZU)−f(U)−ddt(f(eitZU))|t=0∉S1, the space of trace class operators. This resolves a problem of Peller concerning the validity of the Koplienko–Neidhardt trace formula for unitaries.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6f2e257ce11975767a52c3429e2de8e9 https://doi.org/10.1016/j.jfa.2016.05.015 Zobrazit plný text záznamu Full Text from ScienceDirect