The almost lattice isometric copies of $c_0$ in Banach lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 409-412
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In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it contains an almost lattice isometric copy of $c_{0}$. The above result is a lattice version of the well-known result of James concerning the almost isometric copies of $c_{0}$ in Banach spaces.
Classification :
46B04, 46B25, 46B42
Keywords: Banach lattice; lattice isometry; almost lattice isometry; copy of $c_{0}$
Keywords: Banach lattice; lattice isometry; almost lattice isometry; copy of $c_{0}$
@article{CMUC_2005__46_3_a3,
author = {Chen, Jinxi},
title = {The almost lattice isometric copies of $c_0$ in {Banach} lattices},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {409--412},
publisher = {mathdoc},
volume = {46},
number = {3},
year = {2005},
mrnumber = {2174520},
zbl = {1123.46010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a3/}
}
TY - JOUR AU - Chen, Jinxi TI - The almost lattice isometric copies of $c_0$ in Banach lattices JO - Commentationes Mathematicae Universitatis Carolinae PY - 2005 SP - 409 EP - 412 VL - 46 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a3/ LA - en ID - CMUC_2005__46_3_a3 ER -
Chen, Jinxi. The almost lattice isometric copies of $c_0$ in Banach lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 409-412. http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a3/