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Approximating derivations on ideals ofC *-algebras

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Abstract

For each*-derivation δ of a separableC *-algebraA and each ε>0 there is an essential idealI ofA and a self-adjoint multiplierx ofI such that ∥(δ−ad(ix))|I∥<ε and ∥x∥≦∥δ∥.

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  1. Mathematics Institute, Universitetsparken 5, DK-2100, Copenhagen, Denmark

    Gert K. Pedersen

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  1. Gert K. Pedersen
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Pedersen, G.K. Approximating derivations on ideals ofC *-algebras. Invent Math 45, 299–305 (1978). https://doi.org/10.1007/BF01403172

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