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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Linear operators preserving correlation matrices
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by Chi-Kwong Li and Steve Pierce PDF
Proc. Amer. Math. Soc. 131 (2003), 55-63 Request permission

Abstract:

The linear operators that map the set of real or complex (rank one) correlation matrices onto itself are characterized.
References
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  • P. Erdös and T. Grünwald, On polynomials with only real roots, Ann. of Math. (2) 40 (1939), 537–548. MR 7, DOI 10.2307/1968938
  • Emeric Deutsch and Hans Schneider, Bounded groups and norm-Hermitian matrices, Linear Algebra Appl. 9 (1974), 9–27. MR 382315, DOI 10.1016/0024-3795(74)90022-6
  • A survey of linear preserver problems, Gordon and Breach Science Publishers, Yverdon, 1992. Linear and Multilinear Algebra 33 (1992), no. 1-2. MR 1346777, DOI 10.1080/03081089208818176
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Additional Information
  • Chi-Kwong Li
  • Affiliation: Department of Mathematics, The College of William and Mary, Williamsburg, Virginia 23187
  • MR Author ID: 214513
  • Email: ckli@math.wm.edu
  • Steve Pierce
  • Affiliation: Department of Mathematical Sciences, San Diego State University, San Diego, California 92182
  • Email: pierce@math.sdsu.edu
  • Received by editor(s): October 17, 2000
  • Received by editor(s) in revised form: August 18, 2001
  • Published electronically: May 8, 2002
  • Additional Notes: Research supported by an NSF grant
  • Communicated by: Joseph A. Ball
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 55-63
  • MSC (2000): Primary 15A04
  • DOI: https://doi.org/10.1090/S0002-9939-02-06508-5
  • MathSciNet review: 1929023