A Stability Property of a Class of Banach Spaces Not Containing c0
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 56-60
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Let E be a Banach ideal space and X be a Banach space. The Banach function space E(X) does not contain a copy of C0 if and only if neither E nor X contains a copy of c0. Some extensions of this result are also noted.
Dowling, Patrick N. A Stability Property of a Class of Banach Spaces Not Containing c0. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 56-60. doi: 10.4153/CMB-1992-008-2
@article{10_4153_CMB_1992_008_2,
author = {Dowling, Patrick N.},
title = {A {Stability} {Property} of a {Class} of {Banach} {Spaces} {Not} {Containing} c0},
journal = {Canadian mathematical bulletin},
pages = {56--60},
year = {1992},
volume = {35},
number = {1},
doi = {10.4153/CMB-1992-008-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-008-2/}
}
TY - JOUR AU - Dowling, Patrick N. TI - A Stability Property of a Class of Banach Spaces Not Containing c0 JO - Canadian mathematical bulletin PY - 1992 SP - 56 EP - 60 VL - 35 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-008-2/ DO - 10.4153/CMB-1992-008-2 ID - 10_4153_CMB_1992_008_2 ER -
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