Journal article
On trees and dual rotund norms
- Abstract:
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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
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(Preview, Version of record, pdf, 213.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jfa.2005.04.011
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Smith, R
- Grant:
- GR/P00796/01
- Publisher:
- Elsevier
- Journal:
- Journal of Functional Analysis More from this journal
- Volume:
- 231
- Issue:
- 1
- Pages:
- 177-194
- Publication date:
- 2006-02-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0022-1236
- Language:
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English
- Keywords:
- Subjects:
- UUID:
-
uuid:a24befac-5144-432f-9c0e-ae34b58ba53c
- Local pid:
-
ora:8805
- Deposit date:
-
2014-07-16
- ARK identifier:
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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