Simon, Barry (1981) Pointwise domination of matrices and comparison of Fp norms. Pacific Journal of Mathematics, 97 (2). pp. 471-475. ISSN 0030-8730 http://resolver.caltech.edu/CaltechAUTHORS:SIMpjm81
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Abstract
Let p be a real number in [1, ∞) which is not an even integer. Let N = 2[p/2] + 5. We give examples of N X N matrices A and B, so that |aij| ≤ bij but Tr([A*A]p/2) > Tr([B*B]p/2).
| Item Type: | Article |
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| Additional Information: | © 1981 Pacific Journal of Mathematics. Received December 19, 1980. Research partially supported by NSF Grant MCS-78-01885. Sherman Fairchild Visiting Scholar; on leave from Departments of Mathematics and Physics, Princeton University. It is a pleasure to thank V. Peller for most valuable correspondence and S. Friedland for useful discussions. |
| Record Number: | CaltechAUTHORS:SIMpjm81 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:SIMpjm81 |
| Alternative URL: | http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.pjm/1102734518 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 837 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Tony Diaz |
| Deposited On: | 12 Oct 2005 |
| Last Modified: | 26 Dec 2012 08:41 |
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