Derivations, derivatives and chain rules
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Rajendra Bhatia; Kalyan B. Sinha
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Article
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1999
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Elsevier Science
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English
โ 116 KB
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 ร f f and