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Register a new userAn Indecomposable and unconditionally saturated Banach space
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We construct an indecomposable reflexive Banach space $X_{ius}$ such that every infinite dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $Tin mathcal{B}(X_{ius})$ is of the form $lambda I+S$ with $S$ a strictly singular operator.
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