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

By Spiros A. Argyros, R. Haydon. 2009

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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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/19f661950019a7454b26ebd4984b145f85b73c5f