Another consequence of tanahashi’s argument on best possibility of the grand Furuta inequality
Tatsuya Koizumi ; Keiichi Watanabe
Open Mathematics, Tome 11 (2013), p. 368-375 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We show that Tanahashi’s argument on best possibility of the grand Furuta inequality has an additional consequence.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:269150 
@article{bwmeta1.element.doi-10_2478_s11533-012-0061-3,
     author = {Tatsuya Koizumi and Keiichi Watanabe},
     title = {Another consequence of tanahashi's argument on best possibility of the grand Furuta inequality},
     journal = {Open Mathematics},
     volume = {11},
     year = {2013},
     pages = {368-375},
     zbl = {1269.47016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0061-3}
}

Tatsuya Koizumi; Keiichi Watanabe. Another consequence of tanahashi’s argument on best possibility of the grand Furuta inequality. Open Mathematics, Tome 11 (2013) pp. 368-375. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0061-3/

[1] Ando T., Hiai F., Log majorization and complementary Golden-Thompson type inequalities, Linear Algebra Appl., 1994, 197/198, 113–131 http://dx.doi.org/10.1016/0024-3795(94)90484-7 | Zbl 0793.15011

[2] Fujii M., Matsumoto A., Nakamoto R., A short proof of the best possibility for the grand Furuta inequality, J. Inequal. Appl., 1999, 4(4), 339–344 | Zbl 0949.47015

[3] Furuta T., A ≥ B ≥ 0 assures (B rA pB r)1/q ≥ B (p+2r)/q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ p + 2r, Proc. Amer. Math. Soc., 1987, 101(1), 85–88

[4] Furuta T., Extension of the Furuta inequality and Ando-Hiai log-majorization, Linear Algebra Appl., 1995, 219, 139–155 http://dx.doi.org/10.1016/0024-3795(93)00203-C

[5] Heinz E., Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann., 1951, 123, 415–438 http://dx.doi.org/10.1007/BF02054965 | Zbl 0043.32603

[6] Löwner K., Über monotone Matrixfunktionen, Math. Z., 1934, 38(1), 177–216 http://dx.doi.org/10.1007/BF01170633 | Zbl 0008.11301

[7] Tanahashi K., Best possibility of the Furuta inequality, Proc. Amer. Math. Soc., 1996, 124(1), 141–146 http://dx.doi.org/10.1090/S0002-9939-96-03055-9 | Zbl 0841.47012

[8] Tanahashi K., The best possibility of the grand Furuta inequality, Proc. Amer. Math. Soc., 2000, 128(2), 511–519 http://dx.doi.org/10.1090/S0002-9939-99-05261-2 | Zbl 0943.47016

[9] Yamazaki T., Simplified proof of Tanahashi’s result on the best possibility of generalized Furuta inequality, Math. Inequal. Appl., 1999, 2(3), 473–477 | Zbl 0938.47015