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Problems of existence of order copies of $$\ell ^\infty $$ ℓ ∞ and $$L_p(\nu )$$ L p ( ν ) in some non-Banach Köthe spaces |
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| Authors: | Hudzik Henryk Kaczmarek Radosław Wang Yuwen Wójtowicz Marek |
| Institution: | 1.Faculty of Economics and Information Technology, The State University of Applied Sciences in P?ock, ul. Ga?czyńskiego 28, 09-400, P?ock, Poland ;2.Faculty of Mathematics and Computer Science, Adam Mickiewicz University in Poznań, Umultowska 87, 61-614, Poznan, Poland ;3.School of Mathematical Science, Harbin Normal University, Harbin, 150025, China ;4.Institute of Mathematics, Casimir the Great University, Pl. Weyssenhoffa 11, 85-072, Bydgoszcz, Poland ; |
| Abstract: | Positivity - 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... |
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