Monotone trace functions of several variables

Frank Hansen

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We investigate monotone operator functions of several variables under a trace or a trace-like functional. In particular, we prove the inequality τ (x1⋯xn) ≤ τ(y1⋯y n) for a trace τ on a C*-algebra and abelian n-tuples (x1,...,xn) ≤ (y1,..., yn) of positive elements. We formulate and prove Jensen's inequality for expectation values, and we study matrix functions of several variables which are convex or monotone with respect to the weak majorization for matrices.

本文言語English
ページ(範囲)777-785
ページ数9
ジャーナルInternational Journal of Mathematics
16
7
DOI
出版ステータスPublished - 2005 8

ASJC Scopus subject areas

  • 数学 (全般)

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