Perfectly Homogeneous Bases in Banach Spaces
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 137-140
Voir la notice de l'article provenant de la source Cambridge University Press
A bounded basis {xn} of a Banach space X is called perfectly homogeneous if every bounded block basic sequence {yn} of {xn} is equivalent to {xn}. By a result of M. Zippin [4], a basis in a Banach space is perfectly homogeneous if and only if it is equivalent to the unit vector basis of c0 or lp, 1 ≤ p < + ∞. A basis {xn} of a Banach space X is called symmetric, if every permutation {xσ(n)} of {xn} is a basis of X, equivalent to the basis {xn}. It is clear that every perfectly homogeneous basis is symmetric.
Casazza, P. G.; Lin, Bor-Luh. Perfectly Homogeneous Bases in Banach Spaces. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 137-140. doi: 10.4153/CMB-1975-025-8
@article{10_4153_CMB_1975_025_8,
author = {Casazza, P. G. and Lin, Bor-Luh},
title = {Perfectly {Homogeneous} {Bases} in {Banach} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {137--140},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-025-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-025-8/}
}
TY - JOUR AU - Casazza, P. G. AU - Lin, Bor-Luh TI - Perfectly Homogeneous Bases in Banach Spaces JO - Canadian mathematical bulletin PY - 1975 SP - 137 EP - 140 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-025-8/ DO - 10.4153/CMB-1975-025-8 ID - 10_4153_CMB_1975_025_8 ER -
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