A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We construct a hereditarily indecomposable Banach space with dual isomorphic
to $\ell_1$. Every bounded linear operator on this space has the form $\lambda
I+K$ with $\lambda$ a scalar and $K$ compact.

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