On some operator monotone functions |
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| Authors: | Mitsuru Uchiyama Morisuke Hasumi |
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| Institution: | (1) Department of Mathematics, Fukuoka University of Education, 811-4192 Munakata, Fukuoka, Japan;(2) Department of Mathematical Sciences, Ibaraki University, 310-8512 Mito, Ibaraki, Japan |
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| Abstract: | We try to find a continuous functionu defined on a real right half-line with the range (0,  ) such thatu
–1 is operator monotone. We then look for another functionv such thatv(u
–1) is operator monotone, namely,u(A) u(B) impliesv(A)v(B) for self-adjoint operatorsA andB. |
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| Keywords: | Primary 15A39 47A63 Secondary 30B40 |
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