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Compact range property and operators on $C^*$-algebras

Narcisse Randrianantoanina
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Abstract

We prove that a Banach space $E$ has the compact range property (CRP) if and only if for any given $C^*$-algebra $\cal A$, every absolutely summing operator from $\cal A$ into $E$ is compact.

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Narcisse Randrianantoanina. 2000-04-24. Compact range property and operators on $C^*$-algebras. https://arxiv.org/abs/math/0004145

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