On some operator monotone functions Article Received: 25 October 2000 DOI:
Cite this article as: Uchiyama, M. & Hasumi, M. Integr equ oper theory (2002) 42: 243. doi:10.1007/BF01275518 Abstract
We try to find a continuous function
u defined on a real right half-line with the range (0, ∞) 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)≦v(B) for self-adjoint operators A and B. Subject Classification Primary 15A39 47A63 Secondary 30B40 References
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