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Topic: indecomposable dual Banach spaces
Replies: 1   Last Post: Jan 23, 2012 9:59 AM

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Volker

Posts: 3
Registered: 10/16/11
indecomposable dual Banach spaces
Posted: Nov 27, 2011 11:39 AM
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A Banach space E is called indecomposable if there are no infinite-dimensional 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.




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