A note on nonfragmentability of Banach spaces. (1st July 2001)
- Record Type:
- Journal Article
- Title:
- A note on nonfragmentability of Banach spaces. (1st July 2001)
- Main Title:
- A note on nonfragmentability of Banach spaces
- Authors:
- Mirmostafaee, S. Alireza Kamel
- Abstract:
- Abstract : We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdorff spaceX with the tree-completeness property contains a disjoint sequences of clopen sets, then (C ( X ), weak) is not fragmented by any metric which is stronger than weak topology. In particular, C ( X ) does not admit any equivalent locally uniformly convex renorming.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Volume 27:Number 1(2001)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Volume 27:Number 1(2001)
- Issue Display:
- Volume 27, Issue 1 (2001)
- Year:
- 2001
- Volume:
- 27
- Issue:
- 1
- Issue Sort Value:
- 2001-0027-0001-0000
- Page Start:
- 39
- Page End:
- 44
- Publication Date:
- 2001-07-01
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/S0161171201005075 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10263.xml