On injective tensor products whose duals are isometric to L¹(μ)

Abstract

Following the well-known classification scheme of function spaces whose duals are isometric to L¹(μ), due to Lindenstrauss, Wulbert and Olsen ([5],[7]), in this paper we study the geometric properties of Banach spaces under the assumption that the injective tensor product of them is in one of the classes described by Lindenstrauss, Wulbert and Olsen.