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• W4299969142 abstract "We prove the existence of a complex valued $C^2$-function on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert-Schmidt class $S^2$, such that the perturbated operator $$ f(e^{iZ}U)-f(U) -frac{d}{dt}bigl(f(e^{itZ}U)bigr)_{vert t=0} $$ does not belong to the space $S^1$ of trace class operators. This resolves a problem of Peller concerning the validity of the Koplienko-Neidhardt trace formula for unitaries." @default.
• W4299969142 created "2022-10-03" @default.
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• W4299969142 date "2015-09-02" @default.
• W4299969142 modified "2023-09-27" @default.
• W4299969142 title "Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case" @default.
• W4299969142 doi "https://doi.org/10.48550/arxiv.1509.00616" @default.
• W4299969142 hasPublicationYear "2015" @default.
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