Completely bounded maps on 𝐶*-algebras

Suen, Ching Yun

doi:10.1090/S0002-9939-1985-0766532-3

Completely bounded maps on $C^ \ast$-algebras
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by Ching Yun Suen

Proc. Amer. Math. Soc. 93 (1985), 81-87

DOI: https://doi.org/10.1090/S0002-9939-1985-0766532-3

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Abstract:

In this paper we give a simpler proof of an extension theorem for completely bounded maps defined on subspaces of ${C^ * }$-algebras, a new proof of a theorem of Wittstock [8, Satz 4.5], and a series of propositions by extending the techniques of [7] to work in the case of a $C$-bimodule action on the ${C^ * }$-algebras involved.

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Extension of completely bounded

-module homomorphisms