Geodesic
The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$
Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 313-325 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is considered to what extent the order in the spaces $L_p$ and $l_p$ is determined by the linearly topological type. It is proved that, for example, $L_1$ and $L_2$ have a unique continuous order, and the spaces $l_p$, $p\ne2,\infty$, admit only discrete orders. 
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     author = {Yu. A. Abramovich and P. Voitaschik},
     title = {The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {313--325},
     year = {1975},
     volume = {18},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a0/}
}
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Yu. A. Abramovich; P. Voitaschik. The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 313-325. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a0/