A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem
Functional Analysis
2009-03-24 v2
Abstract
We construct a hereditarily indecomposable Banach space with dual isomorphic to . Every bounded linear operator on this space has the form with a scalar and compact.
Cite
@article{arxiv.0903.3921,
title = {A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem},
author = {Spiros A Argyros and Richard G Haydon},
journal= {arXiv preprint arXiv:0903.3921},
year = {2009}
}