A reflexive HI space with the hereditary Invariant Subspace Property

Details A reflexive HI space with the hereditary Invariant Subspace Property A reflexive HI space with the hereditary Invariant Subspace Property

2011-11-15

arxiv.org/abs/1111.3603v2

Mathematics

Functional Analysis

39 pages, no figures. An updated version with minor changes

Scientific paper

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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