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We construct a hereditarily indecomposable Banach space with dual space isomorphic to$ℓ$_{1}. Every bounded linear operator on this space is expressible as λ$I$+$K$, with λ a scalar and$K$compact.
Reinhold MeiseMathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, Düsseldorf, Fed. Rep. of GermanyB. Alan TaylorDepartment of Mathematics, University of Michigan
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