Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 313-325
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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/
@article{MZM_1975_18_3_a0,
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/}
}
TY - JOUR
AU - Yu. A. Abramovich
AU - P. Voitaschik
TI - The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$
JO - Matematičeskie zametki
PY - 1975
SP - 313
EP - 325
VL - 18
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a0/
LA - ru
ID - MZM_1975_18_3_a0
ER -
%0 Journal Article
%A Yu. A. Abramovich
%A P. Voitaschik
%T The uniqueness of order in the spaces $L_p[0,1]$ and $l_p$
%J Matematičeskie zametki
%D 1975
%P 313-325
%V 18
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a0/
%G ru
%F MZM_1975_18_3_a0
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.
