Problems of existence of order copies of l(infinity) and L-p(nu) in some non-Banach Kothe spaces

摘要

For a monotone Orlicz function phi taking only values 0 and infinity, it is showed that in both cases, the s-homogeneous norm ||center dot||phi,s, if phi is s-convex (00 as well as an order linearly isometric copy of the whole l infinity in Orlicz F-normed function and sequence spaces are considered. In the last section the problem of the existence of order linearly isometric copies of Lp(nu) with 0 < p <= 1 in F-normed Orlicz spaces are considered.