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A reflexive HI space with the hereditary Invariant Subspace Property
Published 15 Nov 2011 in math.FA and math.OA | (1111.3603v3)
Abstract: A reflexive hereditarily indecomposable Banach space $\mathfrak{X}{{\text{ISP}}}$ is presented, such that for every $Y$ infinite dimensional closed subspace of $\mathfrak{X}{{\text{ISP}}}$ and every bounded linear operator $T:Y\rightarrow Y$, the operator $T$ admits a non-trivial closed invariant subspace.
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