Characterization of chaotic order and its application to furuta inequality

Proceedings of the American Mathematical Society

Volumn 125, Issue 12, 1997, Pages 3655-3658

  Fujii, Masatoshi ^a,c,d   Jiang, Jian Fei ^a,b   Kamei, Eizaburo ^a,b,c  

^a OSAKA KYOIKU UNIVERSITY   (Japan)

^b DONGHUA UNIVERSITY   (China)

^c Momodani Senior Highschool   (Japan)

^d MAEBASHI INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Chaotic order; Furuta inequality; L wner heinz inequality; Positive operators

Indexed keywords

EID: 21944441691     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-04057-4     Document Type: Article

References (8)

1. T.Ando, On some operator inequalities, Math. Ann., 279 (1987), 157-159. MR 89c:47019
2. M.Fujii, Furuta's inequality and its mean theoretic approach, J. Operator theory, 23 (1990), 67-72. MR 91g:47012
3. M.Fujii/T.Furuta and E.Kamei, Operator functions associated with Furuta's inequality, Linear Alg. and its Appl., 179 (1993), 161-169. MR 93j:47026
4. M.Fujii and E.Kamei, Furuta's inequality and a generalization of Ando's Theorem, Proc. Amer. Math. Soc., 115 (1992), 409-413. MR 921:47018
5. (P+2r)/q for r ≥ 0,p ≥ 0,q ≥ 1 with (1 + 2r)g ≥ p + 2r, Proc. Amer. Math. Soc., 101 (1987), 85-88. MR 89b:47028
6. T.Furuta, Elementary proof of an order preserving inequality, Proc. Japan Acad., 65 (1989), 126. MR 90g:47029
7. E.Kamei, A satellite to Furuta's inequality. Math. Japon., 33 (1988), 883-886. MR89m:47011
8. G.K.Pedersen, Some operator monotone functions, Proc. Amer. Math. Soc., 36 (1972), 309-310. MR 46:6078