Abstract: 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.
Keywords: p-limited set; limited set; space of compact operators
DOI: DOI 10.14712/1213-7243.2023.026
AMS Subject Classification: 46B20 46B25 46B28