On Hereditarily Indecomposable Banach Spaces

Authors
Cheng, Li Xin Zhong, Huai Jie
Citation
Cheng, Li Xin et Zhong, Huai Jie, On Hereditarily Indecomposable Banach Spaces, Acta mathematica Sinica. English series (Print) , 22(3), 2006, pp. 751-756
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
3
Year of publication
2006
Pages
751 - 756
Database
ACNP
SICI code
Abstract
This paper shows that every non-separable hereditarily indecomposable Banach space admits an equivalent strictly convex norm, but its bidual can never have such a one; consequently, every nonseparable hereditarily indecomposable Banach space has no equivalent locally uniformly convex norm.