On some operator monotone functions

被引：10
|
作者：
Uchiyama, M [1 ]
Hasumi, M
机构：
[1] Fukuoka Univ Educ, Dept Math, Fukuoka 8114192, Japan
[2] Ibaraki Univ, Dept Math Sci, Ibaraki 3108512, Japan
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 42卷 / 02期
关键词：
Primary 15A39; 47A63; Secondary 30B40;
D O I：
10.1007/BF01275518
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We try to find a continuous function u defined on a real right half-line with the range (0,infinity) such that u(-1) is operator monotone. We then look for another function v such that v(u(-1)) is operator monotone, namely, u(A) :! u(B) implies v(A) less than or equal to v(B) for self-adjoint operators A and B.
引用
收藏
页码：243 / 251
页数：9
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