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Keywords:
$p$-limited set; limited set; space of compact operators
$p$-limited set; limited set; space of compact operators
Summary:
We introduce the definition of $p$-limited completely continuous operators, $1\le p<\infty$. The question of whether a space of operators has the property that every $p$-limited subset is relative compact when the dual of the domain and the codomain have this property is studied using $p$-limited completely continuous evaluation operators.
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