[Banach] Abstract of a paper by Spiros A. Argyros and Pavlos Motakis

This is an announcement for the paper "A reflexive HI space with the hereditary Invariant Subspace Property" by Spiros A. Argyros and Pavlos Motakis.

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.

Archive classification: math.FA math.OA

Mathematics Subject Classification: 46B03, 46B06, 46B25, 46B45, 47A15

Remarks: 39 pages, no figures

Submitted from: pmotakis@central.ntua.gr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1111.3603

or

http://arXiv.org/abs/1111.3603