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Pointwise domination of matrices and comparison of ℐ_p norms

Simon, Barry (1981) Pointwise domination of matrices and comparison of ℐ_p 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).


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http://projecteuclid.org/euclid.pjm/1102734518PublisherArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Alternate Title:Pointwise domination of matrices and comparison of ℐp norms
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.
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NSFMCS-78-01885
Sherman Fairchild FoundationUNSPECIFIED
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:01 May 2017 23:02

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