A hereditarily indecomposable L^sub [INFINITY]^-space that solves the scalar-plus-compact problem

A hereditarily indecomposable L^sub [INFINITY]^-space that solves the scalar-plus-compact problem

We construct a hereditarily indecomposable Banach space with dual space isomorphic to ^sub 1^. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact.[PUBLICATION ABSTRACT]

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Veröffentlicht in:Acta mathematica 2011-03, Vol.206 (1), p.1
Hauptverfasser: Argyros, Spiros A, Haydon, Richard G
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
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Zusammenfassung:We construct a hereditarily indecomposable Banach space with dual space isomorphic to ^sub 1^. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact.[PUBLICATION ABSTRACT]
ISSN:0001-5962
1871-2509
DOI:10.1007/s11511-011-0058-y