ON 2-λ-NUCLEARITY MAPS

In this paper we give an answer for the following problem: Is 2-quasi λ(p)-nuclear maps between normed spaces equivalent to quasi λ(P)-nuclear maps for a non nuclear G∞-space λ(P)? [3]. Also, we define the k-Kothe space λ^(k), and we prove that if λ^(k) is generated from power sets of infinite type P1, P2, ...... Pk and λ^(k) is nuclear, then 2-quasi-λ^(k)-nuclear maps between normed spaces is equivalent to quasi-λ^(k)-nuclear maps.