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Published 1981 | Published
Journal Article Open

Pointwise domination of matrices and comparison of ℐ_p norms

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).

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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August 22, 2023
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