A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem
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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| Hauptverfasser: | , |
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.0903.3921 |