TY - JOUR
T1 - A dual characterisation of the existence of small combinations of slices
AU - Deville, Robert
PY - 1988/2
Y1 - 1988/2
N2 - We characterise, by a property of roughness, the norms of a Banach space X such that the dual unit ball has no small combination of ω*-slices. Among separable Banach spaces, the existence of an equivalent norm for this new property of roughness characterises spaces which contain an isomorphic copy of ℓ
1(N).
AB - We characterise, by a property of roughness, the norms of a Banach space X such that the dual unit ball has no small combination of ω*-slices. Among separable Banach spaces, the existence of an equivalent norm for this new property of roughness characterises spaces which contain an isomorphic copy of ℓ
1(N).
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U2 - 10.1017/S0004972700004214
DO - 10.1017/S0004972700004214
M3 - Article
SN - 0004-9727
VL - 37
SP - 113
EP - 120
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
IS - 1
ER -