A non-split short complex of Banach

A non-split short complex of Banach A non-split short complex of Banach spaces whose dual splits.

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0 Ž c₀ [ i || (Ž )] l^Ľ [( p) || (Ž )] [( l^Ľ )/( c₀)] Ž 0 is a short exact complex of Banach spaces which doesn't split since c₀ is not complemented in l^Ľ.
Its dual complex 0 Ž ([( l^Ľ )/( c₀)])^# [( p^#) || (Ž )] (l^Ľ)^# = (l¹)^{# #} [( i^#) || (Ž )] c₀^# = l¹ Ž 0 splits. Notice that the later complex is exact and the canonical embedding l¹ Ž (l¹)^{# #} is a right inverse to i^#.

File translated from T_EX by T_TH, version 2.70.
On 22 Feb 2001, 00:20.