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GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS

Published online by Cambridge University Press:  23 December 2003

FRANK HANSEN ,
GUOXING JI  and
JUN TOMIYAMA
FRANK HANSEN
Affiliation:
Institute of Economics, University of Copenhagen, Studiestrade 6, DK – 1455, Copenhagen K, Denmarkfrank.hansen@econ.ku.dk
GUOXING JI
Affiliation:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P.R. Chinagxji@snnu.edu.cn
JUN TOMIYAMA
Affiliation:
Department of Mathematics and Physics, Japan Women's University, Mejirodai Bunkyo-ku, Tokyo, Japanjtomiyama@fc.jwu.ac.jp
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Abstract

The class $P_n(I)$ 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 $P_{n+1}(I)$ is a proper subset of $P_n(I)$ for each natural number $n$. The subhomogeneous C*-algebras are then characterized in terms of matrix monotone functions.

Keywords

26A48 (primary)47A5646L10 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 53 - 58
Copyright
© The London Mathematical Society 2004

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