Eizaburo Kamei

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All published works

Action	Title	Year	Authors
+	Operator valued inequalities based on Young’s inequality	2023	Hiroaki Tohyama Eizaburo Kamei Masayuki Watanabe
+	Operator inequalities related to Young’s inequality	2022	Hiroaki Tohyama Eizaburo Kamei Masayuki Watanabe
+	The $n$-th residual relative operator entropy (Research on structure of operators by order and related topics)	2021	Hiroshi Isa Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe
+	The n-th residual relative operator entropy $${\mathfrak {R}}^{[n]}_{x,y}(A\|B)$$	2020	Hiroaki Tohyama Eizaburo Kamei Masayuki Watanabe
+	The n-th relative operator entropies and the n-th operator divergences	2020	Hiroshi Isa Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe
+	Expanded Relative Operator Entropies and Operator Valued α-Divergence	2015	Masatoshi Ito Hiroshi Isa Eizaburo Kamei Masayuki Watanabe
+ PDF Chat	Shannon type inequalities of a relative operator entropy including Tsallis and Rényi ones	2015	Hiroshi Isa Masatoshi Ito Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe
+	Extensions of relative operator entropies and operator $alpha$-divergence (Operator monotone functions and related topics)	2014	Eizaburo Kamei Hiroshi Isa Masatoshi Ito Hiroaki Tohyama Masayuki Watanabe
+	Generalizations of operator Shannon inequality based on Tsallis and Renyi relative entropies (Operator monotone functions and related topics)	2014	Masatoshi Ito Hiroshi Isa Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe
+	Generalizations of operator Shannon inequality based on Tsallis and Rényi relative entropies	2013	Hiroshi Isa Masatoshi Ito Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe
+ PDF Chat	On Yuan-Gao's ‟complete form" of Furuta inequality	2012	Masatoshi Fujii Masatoshi Ito Eizaburo Kamei Ritsuo Nakamoto
+	Mean theoretic approach to a further extension of grand Furuta inequality (Prospects of non-commutative analysis in operator theory)	2010	Masatoshi Ito Eizaburo Kamei
+ PDF Chat	Mean theoretic approach to a further extension of grand Furuta inequality	2010	Masatoshi Ito Eizaburo Kamei
+	PATH OF BREGMAN-PETZ OPERATOR DIVERGENCE	2009	Jun Ichi Fujii Eizaburo Kamei
+	OPERATOR INEQUALITIES RELATED TO ANDO-HIAI INEQUALITY	2009	Masatoshi Fujii Masatoshi Ito Eizaburo Kamei Akemi Matsumoto
+	ANDO-HIAI INEQUALITY AND A GENERALIZED FURUTA-TYPE OPERATOR FUNCTION	2009	Masatoshi Ito Eizaburo Kamei
+	OPERATOR INEQUALITIES OF ANDO-HIAI TYPE AND THEIR APPLICATIONS	2009	Masatoshi Fujii Eizaburo Kamei
+	A complement to monotonicity of generalized Furuta-type operator functions (Application of Geometry to Operator Theory)	2009	Masatoshi Ito Eizaburo Kamei
+	Variants of Ando-Hiai Inequality	2008	Masatoshi Fujii Eizaburo Kamei
+	A complement to monotonicity of generalized Furuta-type operator functions	2008	Masatoshi Ito Eizaburo Kamei
+	Some remarks on grand Furuta inequality (Inequalities on Linear Operators and its Applications)	2008	Eizaburo Kamei
+ PDF Chat	Grand Furuta inequality and its variant	2007	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto
+	Ando–Hiai inequality and Furuta inequality	2006	Masatoshi Fujii Eizaburo Kamei
+	Ando-Hiai inequality and Furuta inequality(Recent Developments in Linear Operator Theory and its Applications)	2005	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto
+	AN ANALYSIS OF THE INTERNAL STRUCTURE OF THE CELEBRATED FURUTA INEQUALITY VIA OPERATOR MEAN	2005	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto
+	EXTENDED COMPLEMENTARY DOMAIN OF THE FURUTA INEQUALITY	2004	Eizaburo Kamei
+	CONVERSES OF FURUTA TYPE INEQUALITIES	2003	Eizaburo Kamei
+	On a Question of Furuta on Chaotic Order, II	2003	Masatoshi Fuji Eizaburo Kamei Ritsuo Nakamoto
+	DIFFERENCE BETWEEN CHAOTIC ORDER AND USUAL ORDER IN GENERALIZED FURUTA INEQUALITIES	2003	Masatoshi Fujii Eizaburo Kamei
+	GRAND FURUTA INEQUALITY OF THREE VARIABLES	2003	Masatoshi Fujii Eizaburo Kamei
+	ON AN EXTENSION OF THE GRAND FUTURE INEQUALITY	2002	Masatoshi Fujii Eizaburo Kamei
+	On a question of Furuta on chaotic order	2002	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto
+ PDF Chat	An extension of Uchiyama's result associated with an order preserving operator inequality	2002	Takayuki Furuta Eizaburo Kamei
+	REMARK ON CHAOTIC FURUTA INEQUALITY	2001	Eizaburo Kamei Masahiro Nakamura
+	CHAOTIC ORDER AND FURUTA INEQUALITY	2001	Eizaburo Kamei
+	Parametrized Furuta Inequality and its Application	2001	Eizaburo Kamei
+	ORDER AMONG FURUTA TYPE INEQUALITIES	2000	Eizaburo Kamei
+	PARAMETRIZATION OF THE FURUTA INEQUALITY, II	1999	Eizaburo Kamei
+	Geometrical View of the Furuta Inequality	1999	Eizaburo Kamei
+	MONOTONICITY OF THE FURUTA INEQUALITY ON ITS COMPLEMENTARY DOMAIN	1999	Eizaburo Kamei
+	Characterization of chaotic order and its applications to furuta's type operator inequalities	1998	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei
+	A characterization of chaotic order and a problem	1998	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei Kôtarô Tanahashi
+ PDF Chat	Operator functions associated with the grand Furuta inequality	1998	J. F. Jiang Eizaburo Kamei Masatoshi Fujii
+	A Geometrical Structure In The Furuta Inequality, II	1997	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei
+ PDF Chat	Characterization of chaotic order and its application to Furuta inequality	1997	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei
+ PDF Chat	Mean theoretic approach to the grand Furuta inequality	1996	Masatoshi Fujii Eizaburo Kamei
+	A GEOMETRICAL STRUCTURE IN THE FURUTA INEQUALITY	1996	Fujii Masatoshi. Eizaburo Kamei
+	Parameterized Kantorovich Inequality For Positive Operators	1995	Masatoshi Fujii Eizaburo Kamei Akemi Matsumoto
+ PDF Chat	Complements to the Furuta inequality	1994	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei
+	Furuta's inequality and its application to Ando's theorem	1993	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei
+	Furuta's Inequality and a Generalization of Ando's Theorem	1992	Masatoshi Fujii Eizaburo Kamei
+ PDF Chat	Furuta’s inequality and a generalization of Ando’s theorem	1992	Masatoshi Fujii Eizaburo Kamei
+	An Application of Furuta’s Inequality to Ando’s Theorem	1992	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei
+	Operator functions associated with Furuta's inequality	1991	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei
+	Pseudoradical of a certain operator algebra	1976	Eizaburo Kamei Yoshinobu Kato Yasuo Watatani

Common Coauthors

Coauthor	Papers Together
Masatoshi Fujii	24
Masatoshi Ito	11
Hiroaki Tohyama	9
Masayuki Watanabe	8
Hiroshi Isa	6
Ritsuo Nakamoto	6
Takayuki Furuta	5
Jian Fei Jiang	4
Akemi Matsumoto	2
Masahiro Nakamura	1
Masayuki Watanabe	1
Jun Ichi Fujii	1
Masayuki Watanabe	1
Masatoshi Ito Hiroshi Isa	1
Yoshinobu Kato	1
Fujii Masatoshi.	1
J. F. Jiang	1
Yasuo Watatani	1
Masatoshi Fuji	1
Masatoshi Fujii	1
Kôtarô Tanahashi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Means of positive linear operators	1980	Fumio Kubo Tsuyoshi Andô	23
+ PDF Chat	An elementary proof of an order preserving inequality	1989	Takayuki Furuta	21
+	Extension of the furuta inequality and Ando-Hiai log-majorization	1995	Takayuki Furuta	19
+	Log majorization and complementary Golden-Thompson type inequalities	1994	Tsuyoshi Andô Fumio Hiai	18
+	Furuta's inequality and its application to Ando's theorem	1993	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei	16
+ PDF Chat	Mean theoretic approach to the grand Furuta inequality	1996	Masatoshi Fujii Eizaburo Kamei	14
+	Operator functions associated with Furuta's inequality	1991	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei	11
+ PDF Chat	Best possibility of the Furuta inequality	1996	Kôtarô Tanahashi	11
+	On some operator inequalities	1987	T. Andô	10
+ PDF Chat	The best possibility of the grand Furuta inequality	1999	Kôtarô Tanahashi	9
+	REMARK ON CHAOTIC FURUTA INEQUALITY	2001	Eizaburo Kamei Masahiro Nakamura	9
+	Applications of Order Preserving Operator Inequalities	1992	Takayuki Furuta	8
+	A proof via operator means of an order preserving inequality	1989	Takayuki Furuta	8
+ PDF Chat	Two operator functions with monotone property	1991	Takayuki Furuta	8
+	CHAOTIC ORDER AND FURUTA INEQUALITY	2001	Eizaburo Kamei	8
+	PARAMETRIZATION OF THE FURUTA INEQUALITY, II	1999	Eizaburo Kamei	8
+	Generalized Shannon inequalities based on Tsallis relative operator entropy	2004	Kenjiro Yanagi Ken Kuriyama Shigeru Furuichi	6
+	Ando–Hiai inequality and Furuta inequality	2006	Masatoshi Fujii Eizaburo Kamei	6
+ PDF Chat	Simplified proof of an order preserving operator inequality	1998	Takayuki Furuta	6
+	Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators	2004	Takayuki Furuta	6
+	A short proof of the best possibility for the grand Furuta inequality	1999	Masatoshi Fujii Akemi Matsumoto Ritsuo Nakamoto	5
+ PDF Chat	Simplified proof of Tanahashi's result on the best possibility of generalized Furuta inequality	1999	Takeaki Yamazaki	5
+	Beiträge zur Störungstheorie der Spektralzerleung	1951	Erhard Heinz	5
+	$A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$	1987	Takayuki Furuta	5
+ PDF Chat	Some exponential operator inequalities	1999	Mitsuru Uchiyama	4
+	A characterization of chaotic order and a problem	1998	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei Kôtarô Tanahashi	4
+ PDF Chat	Two Operator Functions with Monotone Property	1991	Takayuki Furuta	4
+	Invitation to Linear Operators	2001	Takayuki Furuta	4
+ PDF Chat	Characterization of chaotic order and its application to Furuta inequality	1997	Masatoshi Fujii Jian Fei Jiang Eizaburo Kamei	4
+	AN ANALYSIS OF THE INTERNAL STRUCTURE OF THE CELEBRATED FURUTA INEQUALITY VIA OPERATOR MEAN	2005	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto	4
+	Monotonicity of order preserving operator functions	2007	Takayuki Furuta	4
+ PDF Chat	Furuta’s inequality and a generalization of Ando’s theorem	1992	Masatoshi Fujii Eizaburo Kamei	4
+	The n-th relative operator entropies and the n-th operator divergences	2020	Hiroshi Isa Eizaburo Kamei Hiroaki Tohyama Masayuki Watanabe	3
+ PDF Chat	𝐴≥𝐵≥0 assures (𝐵^{𝑟}𝐴^{𝑝}𝐵^{𝑟})^{1/𝑞}≥𝐵^{(𝑝+2𝑟)/𝑞} for 𝑟≥0, 𝑝≥0, 𝑞≥1 with (1+2𝑟)𝑞≥𝑝+2𝑟	1987	Takayuki Furuta	3
+ PDF Chat	A note on the entropy for operator algebras	1961	Masahiro Nakamura Hisaharu Umegaki	3
+	An application of the Furuta inequality to operator inequalities on chaotic orders	1994	Masaaki Fujii	3
+	On an extension of grand Furuta inequality	2002	Masaaki Fujii	3
+ PDF Chat	Comparison of operator mean geodesics	2008	Jun Ichi Fujii Jadranka Mić ć Hot Josip ‎Pečarić Yūki Seo	3
+	Selfadjoint means and operator monotone functions	1981	Frank Hansen	3
+ PDF Chat	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	2000	Takayuki Furuta	3
+ PDF Chat	Some operator monotone functions	1972	Gert K. Pedersen	3
+ PDF Chat	Operator functions implying generalized Furuta inequality	1998	Takayuki Furuta Takeaki Yamazaki Masahiro Yanagida	3
+ PDF Chat	Classified construction of generalized Furuta type operator functions	2008	Jiangtao Yuan Зонгшенг Гао	3
+	Bregman divergence as relative operator entropy	2007	D. Petz	3
+	OPERATOR INEQUALITIES RELATED TO ANDO-HIAI INEQUALITY	2009	Masatoshi Fujii Masatoshi Ito Eizaburo Kamei Akemi Matsumoto	2
+ PDF Chat	Grand Furuta inequality and its variant	2007	Masatoshi Fujii Eizaburo Kamei Ritsuo Nakamoto	2
+	A complement to monotonicity of generalized Furuta-type operator functions	2008	Masatoshi Ito Eizaburo Kamei	2
+ PDF Chat	Complements to the Furuta inequality	1994	Masatoshi Fujii Takayuki Furuta Eizaburo Kamei	2
+	Furuta's inequality for chaotic order, I and II	1991	Masaaki Fujii	2
+	PATH OF BREGMAN-PETZ OPERATOR DIVERGENCE	2009	Jun Ichi Fujii Eizaburo Kamei	2