Title :

Connected components of the general linear group of a real hereditarily indecomposable Banach space

Author(s) :

De Rancourt, Noé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Universität Wien = University of Vienna

Journal title :

Studia Mathematica

Publisher :

Instytut Matematyczny - Polska Akademii Nauk

Publication date :

2024

ISSN :

0039-3223

English keyword(s) :

Hereditarily indecomposable Banach spaces
Connectedness of general linear groups
Complex structures on real Banach spaces

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Topologie générale [math.GN]
Mathématiques [math]/Algèbres d'opérateurs [math.OA]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL