Trace functions as Laplace transforms

Frank Hansen

研究成果: Article査読

19 被引用数 (Scopus)

抄録

We study trace functions on the form t→Tr f(A+tB) where f is a real function defined on the positive half-line, and A and B are matrices such that A is positive definite and B is positive semidefinite. If f is non-negative and operator monotone decreasing, then such a trace function can be written as the Laplace transform of a positive measure. The question is related to the Bessis-Moussa-Villani conjecture.

本文言語English
論文番号043504
ジャーナルJournal of Mathematical Physics
47
4
DOI
出版ステータスPublished - 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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