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Some inequalities concerning immanants

Published online by Cambridge University Press:  24 October 2008

Peter Heyfron
Peter Heyfron
Affiliation:
Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ
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Extract

In [13] T. H. Pate has recently proved an important inequality between immanants of Hermitian positive semi-definite matrices. In this paper we introduce some more inequalities with the eventual aim of better understanding the permanental dominance conjecture. Indeed the results in this paper together with known results show that the permanental dominance conjecture for immanants is true for all n × n Hermitian positive semi-definite matrices with n ≤ 8, except perhaps for the case of the partition (24) of 8.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 1 , January 1991 , pp. 15 - 30
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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