A reflexive HI space with the hereditary Invariant Subspace Property
classification
🧮 math.FA
math.OA
keywords
subspaceclosedeveryinvariantmathfrakoperatorreflexivespace
read the original 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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