Abstract
The completely bounded norm of an inner derivation of a C*-algebra is determined in terms of the central Haagerup tensor norm. As a consequence, it is equal twice the distance of an implementing element to the center of the local multiplier algebra.
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Mathieu, M. (1994). The cb-norm of a derivation. In: Curto, R.E., Jørgensen, P.E.T. (eds) Algebraic Methods in Operator Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0255-4_16
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DOI: https://doi.org/10.1007/978-1-4612-0255-4_16
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