indecomposable dual Banach spaces

Discussion in 'Math Research' started by Volker Runde, Nov 27, 2011.

  1. Volker Runde

    Volker Runde Guest

    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.
    Volker Runde, Nov 27, 2011
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