2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229277An abstract Pick interpolation theorem for a family of positive semi-definite kernels on a set $X$ is formulated. The result complements those in \cite{Ag} and \cite{AMbook} and will subsequently be applied to Pick interpolation on distinguished varieties \cite{JKM}.14 pagesFunctional Analysis47A57 (primary), 47A20, 47L30 (Secondary)text