The norm of a derivation in a $W^{\ast }$-algebra
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- by László Zsidó PDF
- Proc. Amer. Math. Soc. 38 (1973), 147-150 Request permission
Abstract:
The norm of an inner derivation ${\delta _a}$ of a (nonnecessary separable) ${W^ \ast }$-algebra $M$ is shown to satisfy \[ ||{\delta _a}|| = 2\inf \{ ||a - z||;z \in Z,\;{\text {the center of}\; M\} ,}\] and some related results are obtained.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 147-150
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0326412-6
- MathSciNet review: 0326412