Journal article
On trees and dual rotund norms
- Abstract:
-
We give a necessary and sufficient condition for the existence of an equivalent dual rotund norm on C0(Y)∗ ≡ l1(Y), where is a tree. The condition is expressed succinctly, in terms of the embeddability of into a particular totally ordered set, and compares very well with the analogous situation for local uniform rotundity. This resolves an open problem from Haydon’s work in Asplund spaces, trees and renorming theory.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Smith, R
Grant:
GR/P00796/01
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Journal of Functional Analysis Journal website
- Volume:
- 231
- Issue:
- 1
- Pages:
- 177-194
- Publication date:
- 2006-02-01
- DOI:
- ISSN:
-
0022-1236
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:a24befac-5144-432f-9c0e-ae34b58ba53c
- Local pid:
- ora:8805
- Deposit date:
- 2014-07-16
Related Items
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2005
- Notes:
- Copyright 2005 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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