Author page

Takayuki Furuta

17 articles

Showing 1-17 of 17

Article	Title	Journal	Published
MIA-21-13	Upper and lower bounds, and operator monotonicity of an extension of the Petz-Hasegawa function Takayuki Furuta, Masatoshi Ito, Takeaki Yamazaki, Masahiro Yanagida	MIA Mathematical Inequalities & Applications	Volume 21, Issue 1 01/2018
JMI-09-04	Precise lower bound of f(A)-f(B) for A>B>0 and non-constant operator monotone function f on [0,∞) Takayuki Furuta	JMI Journal of Mathematical Inequalities	Volume 9, Issue 1 03/2015
JMI-07-08	Operator monotone functions, A >B > 0 and logA > logB Takayuki Furuta	JMI Journal of Mathematical Inequalities	Volume 7, Issue 1 03/2013
JMI-06-02	Operator functions on chaotic order involving order preserving operator inequalities Takayuki Furuta	JMI Journal of Mathematical Inequalities	Volume 6, Issue 1 03/2012
MIA-13-04	An extension of order preserving operator inequality Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 13, Issue 1 01/2010
JMI-03-03	Operator function associated with an order preserving operator inequality Takayuki Furuta	JMI Journal of Mathematical Inequalities	Volume 3, Issue 1 03/2009
JMI-02-41	Further extension of an order preserving operator inequality Takayuki Furuta	JMI Journal of Mathematical Inequalities	Volume 2, Issue 4 12/2008
MIA-08-71	Short proof that the arithmetic mean is greater than the harmonic mean and its reverse inequality Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 8, Issue 4 10/2005
MIA-06-64	Simple proof of jointly concavity of the relative operator entropy S(A\|B) = A^1/2 log ( A^-1/2 BA^-1/2) A^1/2 Takayuki Furuta, Mariko Giga, Masahiro Yanagida	MIA Mathematical Inequalities & Applications	Volume 6, Issue 4 10/2003
MIA-06-49	An operator inequality associated with the operator concavity of operator entropy A log A^-1 Takayuki Furuta, Josip Pečarić	MIA Mathematical Inequalities & Applications	Volume 6, Issue 3 07/2003
MIA-06-48	Specht ratio S(1) can be expressed by Kantorovich constant K(p) : S(1)= exp[K'(1)] and its application Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 6, Issue 3 07/2003
MIA-05-14	An extension of Uchiyama's result associated with an order preserving operator inequality Takayuki Furuta, Eizaburo Kamei	MIA Mathematical Inequalities & Applications	Volume 5, Issue 1 01/2002
MIA-04-54	Spectral order A ≻ B if and only if A^(2p-r) ≥ (A^(-r/2) B^p A^(-r/2))^(2p-r)/(p-r) for all p > r ≥ 0 and its application Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 4, Issue 4 10/2001
MIA-03-42	Results under log A ≥ log B can be derived from ones under A ≥ B ≥ 0 by Uchiyama's method - associated with Furuta and Kantorovich type operator inequalities Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 3, Issue 3 07/2000
MIA-03-31	Simple proof of the concavity of operator entropy f(A)= -A log A Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 3, Issue 2 04/2000
MIA-02-26	Generalized Furuta inequality in Banach ✻-algebras and its applications Takayuki Furuta	MIA Mathematical Inequalities & Applications	Volume 2, Issue 2 04/1999
MIA-01-10	Operator functions implying generalized Furuta inequality Takayuki Furuta, Takeaki Yamazaki, Masahiro Yanagida	MIA Mathematical Inequalities & Applications	Volume 1, Issue 1 01/1998