TY - JOUR

T1 - Gaps between classes of matrix monotone functions

AU - Hansen, Frank

AU - Ji, Guoxing

AU - Tomiyama, Jun

N1 - Funding Information:
The second author was partially supported by the National Natural Science Foundation of China (No.10071047) and the Excellent Young Teachers Program of the MOE, P.R.C.

PY - 2004/1

Y1 - 2004/1

N2 - 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.

AB - 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.

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U2 - 10.1112/S0024609303002455

DO - 10.1112/S0024609303002455

M3 - Article

AN - SCOPUS:1442279303

SN - 0024-6093

VL - 36

SP - 53

EP - 58

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 1

ER -