Lifting on G.T. Banach spaces with unconditional basis

Abstract

In this article, we show that every operator defined on the G.T. Banach space with an unconditional basis is liftable. So a G.T. Banach space with an unconditional basis is isomorphic to `1(Γ) for some index set Γ which was characterized by Lindenstrauss and Pelzýnski in 1968. Mathematics Subject Classification: 46B03