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- W49158936 abstract "In this paper we study differentiability properties of the map $Tmapstophi(T)$, where $phi$ is a given function in the disk-algebra and $T$ ranges over the set of contractions on Hilbert space. We obtain sharp conditions (in terms of Besov spaces) for differentiability and existence of higher derivatives. We also find explicit formulae for directional derivatives (and higher derivatives) in terms of double (and multiple) operator integrals with respect to semi-spectral measures." @default.
- W49158936 created "2016-06-24" @default.
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- W49158936 date "2009-05-14" @default.
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- W49158936 title "Differentiability of functions of contractions" @default.
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- W49158936 doi "https://doi.org/10.1090/trans2/226/10" @default.
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