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Pointwise domination of
matrices and comparison of ℐp
norms
Barry Simon |
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Vol. 97 (1981), No. 2, 471–475
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Abstract |
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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 × N matrices A and B, so that |aij|≦ bij but Tr([A∗A]p∕2) > Tr([B∗B]p∕2). |
Mathematical Subject Classification 2000
Primary: 15A60
Secondary: 47B05
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Milestones
Received: 19 December 1980
Published: 1 December 1981
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Authors |
| Barry Simon | |
| Department of Mathematics California Institute of Technology MC 253-37 Pasadena CA 91125 United States |
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| http://www.math.caltech.edu/people/simon.html | |
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