Linear maps between certain nonseparable 𝐶*-algebras

Huruya, Tadasi

doi:10.1090/S0002-9939-1984-0754701-7

Linear maps between certain nonseparable $C^{\ast }$-algebras
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by Tadasi Huruya

Proc. Amer. Math. Soc. 92 (1984), 193-197

DOI: https://doi.org/10.1090/S0002-9939-1984-0754701-7

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Abstract:

There exists a noninjective commutative ${C^ * }$-algebra $A$ such that every bounded linear map of any ${C^ * }$-algebra into $A$ is decomposed as a linear combination of positive linear maps.

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