Connected components of the general linear ...
Document type :
Compte-rendu et recension critique d'ouvrage
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
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
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]
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 >
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
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