Gaps Between Classes of Matrix Monotone Functions
Gaps Between Classes of Matrix Monotone Functions
复制标题
矩阵单调函数类之间的间隙
DOI：
10.1112/s0024609303002455
复制
发表时间：
2002
影响因子：
0.9
通讯作者：
J. Tomiyama
中科院分区：
文献类型：
--
作者：
Frank Hansen;Guoxing Ji;J. Tomiyama
本文研究了定义在开区间I上的n阶矩阵单调函数类Pn（I）。给出了显式例子证明：若I不同于整条真实的直线，则Pn+1（I）是Pn（I）的一个真子集。次齐次C*-代数则用矩阵单调函数来刻画。2000年数学科目分类26 A48（小学）; 47 A56，46 L10（中学）。
The class Pn(I) of matrix monotone functions of order n, defined on an open interval I, is considered in this paper. Explicit examples are given to prove that if I is different from the whole real line, then Pn+1(I) is a proper subset of Pn(I) for each natural number n. The subhomogeneous C*‐algebras are then characterized in terms of matrix monotone functions. 2000 Mathematics Subject Classification 26A48 (primary); 47A56, 46L10 (secondary).