Proof of the BMV conjecture

• 成果类型: Article
• 署名作者: Stahl, Herbert R.
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-013-0104-z
• 发表日期: 2013
• 页码: 255-290
• 关键词: moussa-villani conjecture; hermitian squares; sums; REPRESENTATION; Positivity

摘要

We prove the BMV (Bessis, Moussa, Villani, [1]) conjecture, which states that the function , , is the Laplace transform of a positive measure on [0,a) if A and B are Hermitian matrices and B is positive semidefinite. A semi-explicit representation for this measure is given.