Research theme for competitive and other funds (1):
2016 - 2021 作用素平均を用いた作用素不等式の研究とその量子情報理論への応用
Papers (37):
M. Ito. A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means. Journal of Mathematical Inequalities. 2020. 14. 1. 173
M. Ito. Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces. Mathematical Inequalities & Applications. 2019. 22. 3. 949-966
H. Isa, M. Ito, E. Kamei, H. Tohyama, M. Watanabe. Velocity and acceleration on the paths A \natural_{t} B and A \sharp_{t,r} B. Scientiae Mathematicae Japonicae. 2019. 82. 1. 7-17
M. Ito. Estimations of the Lehmer mean by the Heron mean and their generalizations involving refined Heinz operator inequalities. Advances in Operator Theory. 2018. 3. 4. 763-780
Takayuki Furuta, Masatoshi Ito, Takeaki Yamazaki, Masahiro Yanagida. UPPER AND LOWER BOUNDS, AND OPERATOR MONOTONICITY OF AN EXTENSION OF THE PETZ-HASEGAWA FUNCTION. MATHEMATICAL INEQUALITIES & APPLICATIONS. 2018. 21. 1. 155-164
伊佐 浩史, 伊藤 公智, 亀井 栄三郎, 遠山 宏明, 渡邉 雅之. Velocity and acceleration at a point on the paths A ♮t B and A ♯t,r B (作用素論に基づく量子情報理論の幾何学的構造に関する研究と関連する話題). 数理解析研究所講究録. 2017. 2033. 158-167
Isa Hiroshi, Ito Masatoshi, Kamei Eizaburo, Tohyama Hiroaki, Watanabe Masayuki. Some operator divergences based on Petz-Bregman divergence (Research on structure of operators by order and geometry with related topics). RIMS Kokyuroku. 2016. 1996. 1-12
TOHYAMA Hiroaki, ISA Hiroshi, ITO Masatoshi, KAMEI Eizaburo, WATANABE Masayuki. Expansions of relative operator entropies and operator valued $\alpha$-divergence (Theory of operator means and related topics). RIMS Kokyuroku. 2015. 1935. 143-155
Ito Masatoshi, Isa Hiroshi, Kamei Eizaburo, Tohyama Hiroaki, Watanabe Masayuki. Generalizations of operator Shannon inequality based on Tsallis and Renyi relative entropies (Operator monotone functions and related topics). RIMS Kokyuroku. 2014. 1893. 46-56
KAMEI Eizaburo, ISA Hiroshi, ITO Masatoshi, TOHYAMA Hiroaki, WATANABE Masayuki. Extensions of relative operator entropies and operator $\alpha$-divergence (Operator monotone functions and related topics). RIMS Kokyuroku. 2014. 1893. 35-45
Lectures and oral presentations (62):
Furuta type inequalities related to Ando-Hiai inequality with negative powers
(日本数学会2020年度年会 2020)
平均と不等式 〜作用素の視点から〜
(弘前大学理工学研究科 数物科学科談話会 2019)
A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means
(順序を用いた作用素の構造研究と関連する話題 2019)
A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means
(日本数学会2019年度秋季総合分科会 2019)
Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces
(The 22nd ILAS Conference 2019 2019)