Blower, Gordon and Ransford, T. J. (2004) Complex uniformly convex Banach spaces and Riesz measures. Canadian Journal of Mathematics, 56 (2). pp. 225-245. ISSN 0008-414X
Full text not available from this repository.Abstract
The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von~Neumann-Schatten trace ideals. Banach spaces that are q-uniformly PL-convex in the sense of Davis, Garling and Tomczak-Jaegermann are characterized in terms of the mass distribution of this measure. This gives a new proof that the trace ideals cp are 2-uniformly PL-convex for 1 leq p leq 2.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Canadian Journal of Mathematics |
| Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics |
| Uncontrolled Keywords: | subharmonic functions ; Banach spaces ; Schatten trace ideals |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2368 |
| Deposited By: | ep_importer |
| Deposited On: | 01 Apr 2008 15:20 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:12 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2368 |
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