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

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

2000-04-24

arxiv.org/abs/math/0004145v1

Mathematics

Functional Analysis

8 pages

Scientific paper

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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