On D. Haegele's approach to the Bessis-Moussa-Villani conjecture

Autor:	Landweber, Peter S., Speer, Eugene R.
Rok vydání:	2007
Předmět:	Mathematics - Operator Algebras Mathematics - Rings and Algebras 15A90 15A48 15A45
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10 pages, plain TeX, auxiliary macro file mathdefs.tex needed
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0711.0672 Zobrazit plný text záznamu View this record from Arxiv