Operator functions implying generalized Furuta inequality

Takayuki Furuta, Takeaki Yamazaki, Masahiro Yanagida

Type: Article

Publication Date: 1998-01-01

Citations: 16

DOI: https://doi.org/10.7153/mia-01-10

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Mathematical Inequalities & Applications - View - PDF

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Works That Cite This (15)

Action	Title	Year	Authors
+	When does Ando–Hiai inequality hold?	2017	Shuhei Wada
+	Monotonicity of order preserving operator functions	2007	Takayuki Furuta
+	A ≥ B ≥ 0 Ensures $${\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}} \geqslant {\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}}$$ for R ≥ 0, P ≥ 0, G ≥ 1 with (1 + R)Q ≥P + R and its Recent Appications	1999	Takayuki Furuta
+	Parametrized Furuta Inequality and its Application	2001	Eizaburo Kamei
+ PDF Chat	Classified construction of generalized Furuta type operator functions	2008	Jiangtao Yuan Зонгшенг Гао
+ PDF Chat	Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality	1999	Takeaki Yamazaki
+	A short proof of the best possibility for the grand Furuta inequality	1999	Masatoshi Fujii Akemi Matsumoto Ritsuo Nakamoto
+ PDF Chat	On monotonicity of some operator functions related to order preserving operator inequalities	2012	Tatsuya Koizumi Keiichi Watanabe
+ PDF Chat	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	2001	Takayuki Furuta
+	AN ANALYSIS OF THE INTERNAL STRUCTURE OF THE CELEBRATED FURUTA INEQUALITY VIA OPERATOR MEAN	2005	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto

Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	A decreasing operator function associated with the Furuta inequality	1998	Takayuki Furuta Derming Wang
+	Applications of Order Preserving Operator Inequalities	1992	Takayuki Furuta
+ PDF Chat	Mean theoretic approach to the grand Furuta inequality	1996	Masatoshi Fujii Eizaburo Kamei
+ PDF Chat	An elementary proof of an order preserving inequality	1989	Takayuki Furuta
+	On some operator inequalities	1987	T. Andô
+	Furuta's inequality and its application to Ando's theorem	1993	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei
+	Log majorization and complementary Golden-Thompson type inequalities	1994	Tsuyoshi Andô Fumio Hiai
+ PDF Chat	Two operator functions with monotone property	1991	Takayuki Furuta
+	Extension of the furuta inequality and Ando-Hiai log-majorization	1995	Takayuki Furuta
+ PDF Chat	Best possibility of the Furuta inequality	1996	Kôtarô Tanahashi