Problems of existence of order copies of \(\ell ^\infty \) and \(L_p(\nu )\) in some non-Banach Köthe spaces

For a monotone Orlicz function $$\varPhi $$ taking only values 0 and $$\infty $$ , it is showed that in both cases, the s-homogeneous norm $$\Vert \cdot \Vert _{\varPhi ,s}$$ , if $$\varPhi $$ is s-convex $$(00$$ as well as an order linearly isometric copy of the whole $$\ell ^\infty $$ 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 $$L_p(\nu )$$ with $$0更多