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 -