2019-06-192019-06-192014Delgado Sánchez, J.M. y Piñeiro Gómez, C. (2014). On p-Compact Sets in Classical Banach Spaces. International Mathematical Forum, 9 (2), 51-63.1314-7536https://hdl.handle.net/11441/87528Given p ≥ 1, we denote by Cp the class of all Banach spaces X satisfying the equality Kp(Y,X) = Πdp(Y,X) for every Banach space Y , Kp (respectively, Πdp ) being the operator ideal of p-compact operators (respectively, of operators with p-summing adjoint). If X belongs to Cp, a bounded set A ⊂ X is relatively p-compact if and only if the evaluation map U∗ A : X∗ −→ ∞(A) is p-summing. We obtain p-compactness criteria valid for Banach spaces in Cp.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/p-compact setp-nuclear operatorp-summing operator(p, q)- summing sequenceinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.12988/imf.2014.31121520604318