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Oppenheim's Inequality for the Second Immanant

Published online by Cambridge University Press:  20 November 2018

Russell Merris*
Affiliation:
Department of Mathematics and Computer Science California State University Hayward, CA 94542
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Abstract

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Denote by d2 the immanant afforded by Sn and the character corresponding to the partition (2, 1n-2). If n ≥ 4, the following analog of Oppenheim's inequality is proved:

for all n-by-n positive semidefinite hermitian A and B.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1987

References

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