On D. Haegele's approach to the Bessis-Moussa-Villani conjecture
Operator Algebras
2007-11-06 v1 Rings and Algebras
Abstract
The reformulation of the Bessis-Moussa-Villani conjecture given by Lieb and Seiringer asserts that the coefficient of t^r in the polynomial Trace[(A+tB)^p], with A and B positive semidefinite matrices, is nonnegative for all p and r. We propose a natural extension of a method of attack on this problem due to Haegele, and investigate for what values of p and r the method is successful, obtaining a complete determination when either p or r is odd.
Keywords
Cite
@article{arxiv.0711.0672,
title = {On D. Haegele's approach to the Bessis-Moussa-Villani conjecture},
author = {Peter S. Landweber and Eugene R. Speer},
journal= {arXiv preprint arXiv:0711.0672},
year = {2007}
}
Comments
10 pages, plain TeX, auxiliary macro file mathdefs.tex needed