Gaps between classes of matrix monotone functions

Frank Hansen, Guoxing Ji, Jun Tomiyama

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

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 P n+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.

Original languageEnglish
Pages (from-to)53-58
Number of pages6
JournalBulletin of the London Mathematical Society
Volume36
Issue number1
DOIs
Publication statusPublished - 2004 Jan

ASJC Scopus subject areas

  • Mathematics(all)

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