## Takayuki Furuta

#### Articles by Takayuki Furuta:

 MIA-01-10 » Operator functions implying generalized Furuta inequality (01/1998) MIA-02-26 » Generalized Furuta inequality in Banach ✻-algebras and its applications (04/1999) MIA-03-31 » Simple proof of the concavity of operator entropy f(A)= -A log A (04/2000) 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 (07/2000) MIA-04-54 » Spectral order A ≻ B if and only if A(2p-r) ≥ (A(-r/2) Bp A(-r/2))(2p-r)/(p-r) for all p > r ≥ 0 and its application (10/2001) MIA-05-14 » An extension of Uchiyama's result associated with an order preserving operator inequality (01/2002) MIA-06-48 » Specht ratio S(1) can be expressed by Kantorovich constant K(p) : S(1)= exp[K'(1)] and its application (07/2003) MIA-06-49 » An operator inequality associated with the operator concavity of operator entropy A log A-1 (07/2003) MIA-06-64 » Simple proof of jointly concavity of the relative operator entropy S(A|B) = A1/2 log ( A-1/2 BA-1/2) A1/2 (10/2003) MIA-08-71 » Short proof that the arithmetic mean is greater than the harmonic mean and its reverse inequality (10/2005) JMI-02-41 » Further extension of an order preserving operator inequality (12/2008) JMI-03-03 » Operator function associated with an order preserving operator inequality (03/2009) MIA-13-04 » An extension of order preserving operator inequality (01/2010) JMI-06-02 » Operator functions on chaotic order involving order preserving operator inequalities (03/2012) JMI-07-08 » Operator monotone functions, A >B > 0 and logA > logB (03/2013) JMI-09-04 » Precise lower bound of f(A)-f(B) for A>B>0 and non-constant operator monotone function f on [0,∞) (03/2015) MIA-21-13 » Upper and lower bounds, and operator monotonicity of an extension of the Petz-Hasegawa function (01/2018)