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arXiv:0903.3921 [math.FA]AbstractReferencesReviewsResources

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

Spiros A Argyros, Richard G Haydon

Published 2009-03-23Version 2

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.

Categories: math.FA
Subjects: 46B45
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