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Chain rule for conic derivatives

✍ Scribed by J. Vodová


Book ID
120748071
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
710 KB
Volume
93
Category
Article
ISSN
0001-4346

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For a smooth function f on the space of bounded operators in a Hilbert space, we obtain formulas for the nth order commutator f eY Y Y F F F Y in terms of the Fr echet derivatives h m f e. We illustrate the use of these formulas in obtaining bounds for norms of generalised commutators f e À f f and