Proceedings of the American Mathematical Society

Author(s): Masatoshi Fujii; Ritsuo Nakamoto
Journal: Proc. Amer. Math. Soc. 128 (2000), 223-228.
MSC (1991): Primary 47A30, 47A63
Posted: June 30, 1999
Retrieve article in: PDF
This article is available free of charge

Abstract: We give an extension of Lin's recent improvement of a generalized Schwarz inequality, which is based on the Heinz-Kato-Furuta inequality. As a consequence, we can sharpen the Heinz-Kato-Furuta inequality.

1.: H.J.Bernstein, An inequality for selfajoint operators on a Hilbert space, Proc. Amer. Math. Soc., 100 (1987), 319-321. MR 89b:47013a
2.: M.Fujii, Furuta's inequality and its mean theoretic approach, J. Operator theory, 23 (1990), 67-72. MR 91g:47012
3.: M.Fujii and T.Furuta, Löwner-Heinz, Cordes and Heinz-Kato inequalities, Math. Japon., 38 (1993), 73-78. MR 94d:47005
4.: T.Furuta, $A \ge B \ge 0$ assures $(B^{r}A^{p}B^{r})^{1/q} \ge B^{(p+ 2r)/q}$ for $r \ge 0, p \ge 0, q \ge 1$ with $(1+2r)q \ge p+2r$ , Proc. Amer. Math. Soc., 101 (1987), 85-88. MR 89b:47028
5.: T.Furuta, Elementary proof of an order preserving inequality, Proc. Japan Acad., 65 (1989), 126. MR 90g:47029
6.: T.Furuta, Determinant type generalizations of the Heinz-Kato theorem via the Furuta inequality, Proc. Amer. Math. Soc., 120 (1994), 223-231. MR 94b:47025
7.: T.Furuta, An extension of the Heinz-Kato theorem, Proc. Amer. Math. Soc., 120 (1994), 785-787. MR 94e:47034
8.: E.Kamei, A satellite to Furuta's inequality, Math. Japon., 33 (1988), 883-886. MR 89m:47011
9.: C.-S.Lin, Heinz's inequality and Bernstein's inequality, Proc. Amer. Math. Soc., 125 (1997), 2319-2325. MR 97j:47028
10.: G.K.Pedersen, Some operator monotone functions, Proc. Amer. Math. Soc., 36 (1972), 309- 310. MR 46:6078
11.: K.Tanahashi, Best possibility of the Furuta inequality, Proc. Amer. Math. Soc., 124 (1996), 141-146. MR 96d:47025

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A30, 47A63

Masatoshi Fujii
Affiliation: Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582, Japan
Email: mfujii@cc.osaka-kyoiku.ac.jp

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS