# A hereditarily indecomposable ${\mathcal{L}_{\infty}}$-space that solves the scalar-plus-compact problem

@article{Argyros2011AHI,
title={A hereditarily indecomposable \$\{\mathcal\{L\}\_\{\infty\}\} \$-space that solves the scalar-plus-compact problem},
author={Spiros A. Argyros and Richard Haydon},
journal={Acta Mathematica},
year={2011},
volume={206},
pages={1-54}
}
• Published 23 March 2011
• Mathematics
• Acta Mathematica
We construct a hereditarily indecomposable Banach space with dual space isomorphic to ℓ1. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact.
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