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Volker
Posts:
3
Registered:
10/16/11


indecomposable dual Banach spaces
Posted:
Nov 27, 2011 11:39 AM


A Banach space E is called indecomposable if there are no infinitedimensional subspaces X and Y of E such that E is the direct sum of X and Y.
There are examples of reflexive indecomposable Banach spaces.
My question is: Is there a indecomposable Banach space that is a dual space, but not reflexive?
Any pertinent hints will be appreciated.
Volker Runde.



