Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 76-87
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M. Rudelson. A characterization of 2-trivial Banach spaces with unconditional basis. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 76-87. http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a6/
@article{ZNSL_1987_157_a6,
author = {M. Rudelson},
title = {A characterization of 2-trivial {Banach} spaces with unconditional basis},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {76--87},
year = {1987},
volume = {157},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a6/}
}
TY - JOUR
AU - M. Rudelson
TI - A characterization of 2-trivial Banach spaces with unconditional basis
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 76
EP - 87
VL - 157
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a6/
LA - ru
ID - ZNSL_1987_157_a6
ER -
%0 Journal Article
%A M. Rudelson
%T A characterization of 2-trivial Banach spaces with unconditional basis
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 76-87
%V 157
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a6/
%G ru
%F ZNSL_1987_157_a6
Let $X$ be a Banach space with unconditional basis such that every operator from $X$ to $l^2$ is 2-absolutely summing. Then $X$ is isomorphic either to $c_0$ or to $l^1$ or to $c_0\oplus l^1$.
