GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS

2002/04/16 by Frank Hansen, FRANK HANSEN, Guoxing Ji +3 · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Holomorphic and Operator Theory #math.OA #math.RA

paper · pdf · doi:10.1112/s0024609303002455

published as Bull. London Math. Soc. 36 (2004), 53-58

arxiv created 2002/04/16 · openalex publication_date 2003/12/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 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).

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