2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117758We study $C_{0}$-operators relative to a multiply connected domain using a substitute of the characteristic function. This method allows us to prove certain relations between the Jordan model of an operator and that of its restriction to an invariant subspace.12pages, To appear in JOTFunctional Analysis42B30, 42B35, 17C65Linear Algebraic Properties for Jordan Models of $C_{0}$-operators relative to multiply connected domainstext