| Abstract: | Abstract Kadec and Pelczýnski have shown that every non-reflexive subspace of L 1 (μ) contains a copy of l 1 complemented in L 1(μ). On the other hand Rosenthal investigated the structure of reflexive subspaces of L 1(μ) and proved that such sub-spaces have non-trivial type. We show the same facts to hold true for a special class of non-reflexive Orlicz spaces. In particular we show that if F is an N-function in δ2 with its complement G satisfying limt→∞ G(ct)/G(t) = ∞, then every non-reflexive subspace of L*F contains a copy of l 1 complemented in L*F. Furthermore we establish the fact that if F is an N-function in δ2 with its complement G satisfying limt→∞ G(ct)/G(t) = ∞, then every reflexive subspace of L*F has non-trivial type. |
