Vol. 97, No. 2, 1981

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Pointwise domination of matrices and comparison of p norms

Barry Simon

Vol. 97 (1981), No. 2, 471–475
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 × N matrices A and B, so that |aij|bij but Tr([AA]p∕2) > Tr([BB]p∕2).

Mathematical Subject Classification 2000
Primary: 15A60
Secondary: 47B05
Milestones
Received: 19 December 1980
Published: 1 December 1981
Authors
Barry Simon
Department of Mathematics
California Institute of Technology
MC 253-37
Pasadena CA 91125
United States
http://www.math.caltech.edu/people/simon.html