Connected components of the general linear group of a real hereditarily indecomposable Banach space
Functional Analysis
2020-09-11 v1 General Topology
Operator Algebras
Abstract
We give a complete description of the structure of the connected components of the general linear group of a real hereditarily indecomposable Banach space, depending on the existence of complex structures on the space itself and on its hyperplanes. A side result is the fact that complex structures cannot exist simultaneously on such a space and on its hyperplanes.
Keywords
Cite
@article{arxiv.2009.04687,
title = {Connected components of the general linear group of a real hereditarily indecomposable Banach space},
author = {N. de Rancourt},
journal= {arXiv preprint arXiv:2009.04687},
year = {2020}
}
Comments
12 pages