New characterizations of the unit vector basis of $c_0$ or $ \ell _{p}$
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1073-1083
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Motivated by Altshuler’s famous characterization of the unit vector basis of $c_0$ or $\ell _p$ among symmetric bases (Altshuler [1976, Israel Journal of Mathematics, 24, 39–44]), we obtain similar characterizations among democratic bases and among bidemocratic bases. We also prove a separate characterization of the unit vector basis of $\ell _1$.
Casazza, Peter G.; Dilworth, Stephen J.; Kutzarova, Denka; Motakis, Pavlos. New characterizations of the unit vector basis of $c_0$ or $ \ell _{p}$. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1073-1083. doi: 10.4153/S0008439523000176
@article{10_4153_S0008439523000176,
author = {Casazza, Peter G. and Dilworth, Stephen J. and Kutzarova, Denka and Motakis, Pavlos},
title = {New characterizations of the unit vector basis of $c_0$ or $ \ell _{p}$},
journal = {Canadian mathematical bulletin},
pages = {1073--1083},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000176},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000176/}
}
TY - JOUR
AU - Casazza, Peter G.
AU - Dilworth, Stephen J.
AU - Kutzarova, Denka
AU - Motakis, Pavlos
TI - New characterizations of the unit vector basis of $c_0$ or $ \ell _{p}$
JO - Canadian mathematical bulletin
PY - 2023
SP - 1073
EP - 1083
VL - 66
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000176/
DO - 10.4153/S0008439523000176
ID - 10_4153_S0008439523000176
ER -
%0 Journal Article
%A Casazza, Peter G.
%A Dilworth, Stephen J.
%A Kutzarova, Denka
%A Motakis, Pavlos
%T New characterizations of the unit vector basis of $c_0$ or $ \ell _{p}$
%J Canadian mathematical bulletin
%D 2023
%P 1073-1083
%V 66
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000176/
%R 10.4153/S0008439523000176
%F 10_4153_S0008439523000176
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