Edit Profile (opens in new tab) Mitani, Kenichi Co-Author Distance Author ID: mitani.kenichi Published as: Mitani, Ken-Ichi; Mitani, Ken-ichi; Mitani, Kenichi more...less Documents Indexed: 44 Publications since 2003 Co-Authors: 16 Co-Authors with 42 Joint Publications 117 Co-Co-Authors all top 5 Co-Authors 2 single-authored 41 Saito, Kichisuke 13 Komuro, Naoto 6 Takahashi, Yasuji 5 Tanaka, Ryotaro 2 Izumida, Tamotsu 2 Ohwada, Tomoyoshi 2 Suzuki, Tomonari 2 Tomizawa, Yukino 1 An, Runling 1 Kato, Mikio 1 Mizuguchi, Hiroyasu 1 Ōshiro, Satoru 1 Sano, Hiroki 1 Sato, Masahiro 1 Tabiraki, Noriyuki 1 Tamura, Takayuki all top 5 Serials 6 Journal of Nonlinear and Convex Analysis 5 Linear and Nonlinear Analysis 4 Journal of Mathematical Analysis and Applications 2 Nihonkai Mathematical Journal 2 Central European Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Annals of Functional Analysis 1 Applied Mathematics and Computation 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Convex Analysis 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Mediterranean Journal of Mathematics 1 Commentationes Mathematicae 1 ISRN Mathematical Analysis Fields 43 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 2 Real functions (26-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 102 times in 51 Documents Cited by ▼ Year ▼ Smoothness of absolute norms on \(\mathbb C^n\). Zbl 1029.46011 Mitani, Ken-Ichi; Saito, Kichi-Suke; Suzuki, Tomonari 16 2003 The James constant of absolute norms on \(\mathbb R^2\). Zbl 1051.46008 Mitani, Ken-ichi; Saito, Kichi-Suke 13 2003 Smoothness of \(\psi\)-direct sums of Banach spaces. Zbl 1084.46012 Mitani, Kenichi; Oshiro, Satoru; Saito, Kichi-Suke 11 2005 Dual of two dimensional Lorentz sequence spaces. Zbl 1184.46018 Mitani, Ken-Ichi; Saito, Kichi-Suke 11 2009 On sharp triangle inequalities in Banach spaces. Zbl 1127.46015 Mitani, Ken-Ichi; Saito, Kichi-Suke; Kato, Mikio; Tamura, Takayuki 7 2007 Extremal structure of the set of absolute norms on \(\mathbb R^2\) and the von Neumann-Jordan constant. Zbl 1204.46008 Komuro, Naoto; Saito, Kichi-Suke; Mitani, Ken-Ichi 6 2010 On the calculation of the James constant of Lorentz sequence spaces. Zbl 1148.46013 Mitani, Ken-Ichi; Saito, Kichi-Suke; Suzuki, Tomonari 6 2008 On sharp triangle inequalities in Banach spaces. II. Zbl 1195.46021 Mitani, Ken-Ichi; Saito, Kichi-Suke 5 2010 Another approach to characterizations of generalized triangle inequalities in normed spaces. Zbl 1311.46014 Izumida, Tamotsu; Mitani, Ken-Ichi; Saito, Kichi-Suke 4 2014 A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011 Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino 3 2017 A note on geometrical properties of Banach spaces using \(\psi\)-direct sums. Zbl 1109.46017 Mitani, Ken-Ichi; Saito, Kichi-Suke 2 2007 Geometric constants of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^{2}\). Zbl 1378.46016 Tomizawa, Yukino; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2017 Extremal structure of absolute normalized norms on \(\mathbb R^2\) and the James constant. Zbl 1227.15020 Komuro, Naoto; Saito, Kichi-Suke; Mitani, Ken-Ichi 2 2011 Skewness and James constant of Banach spaces. Zbl 1271.46016 Mitani, Ken-Ichi; Saito, Kichi-Suke; Takahashi, Yasuji 2 2013 On the von Neumann-Jordan constant of generalized Banas-Fraczek spaces. Zbl 1424.46018 Mitani, Ken-Ichi; Saito, Kichi-Suke; Takahashi, Yasuji 2 2016 On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014 Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 Extremal structure of absolute norms and the skewness. Zbl 1342.46016 Mitani, Ken-Ichi; Saito, Kichi-Suke; Komuro, Naoto 1 2015 On sharp triangle inequalities in Banach spaces and their applications. Zbl 1294.46012 Saito, Kichi-Suke; Mitani, Ken-Ichi 1 2011 How to calculate James constants of Banach spaces. Zbl 1338.46022 Saito, Kichi-Suke; Komuro, Naoto; Mitani, Ken-Ichi 1 2014 The monotonicity of absolute normalized norms on \(\mathbb{C}^n\). Zbl 1250.46013 Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke 1 2011 A new geometrical constant of Banach spaces and the uniform normal structure. Zbl 1245.46009 Mitani, Ken-ichi; Saito, Kichi-Suke 1 2009 On the James constant of extreme absolute norms on \(\mathbb{R}^2\) and their dual norms. Zbl 1441.46016 Komuro, Naoto; Saito, Kichi-suke; Mitani, Ken-ichi 1 2013 A note on relations between skewness and geometrical constants of Banach spaces. Zbl 1493.46029 Mitani, Ken-Ichi; Saito, Kichi-Suke 1 2021 U-convexity of \(\psi \)-direct sums of Banach spaces. Zbl 1204.46009 Mitani, Ken-Ichi 1 2010 Another aspect of triangle inequality. Zbl 1217.26061 Saito, Kichi-Suke; An, Runling; Mizuguchi, Hiroyasu; Mitani, Ken-Ichi 1 2011 A note on relations between skewness and geometrical constants of Banach spaces. Zbl 1493.46029 Mitani, Ken-Ichi; Saito, Kichi-Suke 1 2021 A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011 Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino 3 2017 Geometric constants of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^{2}\). Zbl 1378.46016 Tomizawa, Yukino; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2017 On the von Neumann-Jordan constant of generalized Banas-Fraczek spaces. Zbl 1424.46018 Mitani, Ken-Ichi; Saito, Kichi-Suke; Takahashi, Yasuji 2 2016 On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014 Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 Extremal structure of absolute norms and the skewness. Zbl 1342.46016 Mitani, Ken-Ichi; Saito, Kichi-Suke; Komuro, Naoto 1 2015 Another approach to characterizations of generalized triangle inequalities in normed spaces. Zbl 1311.46014 Izumida, Tamotsu; Mitani, Ken-Ichi; Saito, Kichi-Suke 4 2014 How to calculate James constants of Banach spaces. Zbl 1338.46022 Saito, Kichi-Suke; Komuro, Naoto; Mitani, Ken-Ichi 1 2014 Skewness and James constant of Banach spaces. Zbl 1271.46016 Mitani, Ken-Ichi; Saito, Kichi-Suke; Takahashi, Yasuji 2 2013 On the James constant of extreme absolute norms on \(\mathbb{R}^2\) and their dual norms. Zbl 1441.46016 Komuro, Naoto; Saito, Kichi-suke; Mitani, Ken-ichi 1 2013 Extremal structure of absolute normalized norms on \(\mathbb R^2\) and the James constant. Zbl 1227.15020 Komuro, Naoto; Saito, Kichi-Suke; Mitani, Ken-Ichi 2 2011 On sharp triangle inequalities in Banach spaces and their applications. Zbl 1294.46012 Saito, Kichi-Suke; Mitani, Ken-Ichi 1 2011 The monotonicity of absolute normalized norms on \(\mathbb{C}^n\). Zbl 1250.46013 Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke 1 2011 Another aspect of triangle inequality. Zbl 1217.26061 Saito, Kichi-Suke; An, Runling; Mizuguchi, Hiroyasu; Mitani, Ken-Ichi 1 2011 Extremal structure of the set of absolute norms on \(\mathbb R^2\) and the von Neumann-Jordan constant. Zbl 1204.46008 Komuro, Naoto; Saito, Kichi-Suke; Mitani, Ken-Ichi 6 2010 On sharp triangle inequalities in Banach spaces. II. Zbl 1195.46021 Mitani, Ken-Ichi; Saito, Kichi-Suke 5 2010 U-convexity of \(\psi \)-direct sums of Banach spaces. Zbl 1204.46009 Mitani, Ken-Ichi 1 2010 Dual of two dimensional Lorentz sequence spaces. Zbl 1184.46018 Mitani, Ken-Ichi; Saito, Kichi-Suke 11 2009 A new geometrical constant of Banach spaces and the uniform normal structure. Zbl 1245.46009 Mitani, Ken-ichi; Saito, Kichi-Suke 1 2009 On the calculation of the James constant of Lorentz sequence spaces. Zbl 1148.46013 Mitani, Ken-Ichi; Saito, Kichi-Suke; Suzuki, Tomonari 6 2008 On sharp triangle inequalities in Banach spaces. Zbl 1127.46015 Mitani, Ken-Ichi; Saito, Kichi-Suke; Kato, Mikio; Tamura, Takayuki 7 2007 A note on geometrical properties of Banach spaces using \(\psi\)-direct sums. Zbl 1109.46017 Mitani, Ken-Ichi; Saito, Kichi-Suke 2 2007 Smoothness of \(\psi\)-direct sums of Banach spaces. Zbl 1084.46012 Mitani, Kenichi; Oshiro, Satoru; Saito, Kichi-Suke 11 2005 Smoothness of absolute norms on \(\mathbb C^n\). Zbl 1029.46011 Mitani, Ken-Ichi; Saito, Kichi-Suke; Suzuki, Tomonari 16 2003 The James constant of absolute norms on \(\mathbb R^2\). Zbl 1051.46008 Mitani, Ken-ichi; Saito, Kichi-Suke 13 2003 all cited Publications top 5 cited Publications all top 5 Cited by 58 Authors 18 Saito, Kichisuke 12 Mitani, Kenichi 11 Tanaka, Ryotaro 8 Komuro, Naoto 4 Mizuguchi, Hiroyasu 3 Dadipour, Farzad 3 Izumida, Tamotsu 2 Dinarvand, Mina 2 Rezaei, Asiyeh 2 Saejung, Satit 2 Sato, Masahiro 2 Suzuki, Tomonari 2 Zuo, Zhanfei 1 Adjei, I. A. 1 Amponsah, S. K. 1 An, Runling 1 Anatriello, Giuseppina 1 Banaś, Józef 1 Barnes, Benedict 1 Ciesielski, Maciej 1 Fiorenza, Alberto 1 Formica, Maria Rosaria 1 Fu, Yuankang 1 Giovanni, Vincenzi 1 Hardtke, Jan-David 1 Huang, Yimin 1 Huy, Duong Quoc 1 Ikeda, Toshiharu 1 Kato, Mikio 1 Khurana, Divya 1 Li, Yongjin 1 Liu, Qi 1 Minculete, Nicusor 1 Moslehian, Mohammad Sal 1 Nikolova, Ludmila 1 Nilsrakoo, Weerayuth 1 Ochab, Justyna 1 Ohwada, Tomoyoshi 1 Ostrovsky, Eugeny 1 Owusu-Ansah, Emmanuel D. J. 1 Păltănea, Radu 1 Persson, Lars-Erik 1 Płuciennik, Ryszard 1 Rassias, John Michael 1 Rincón-Villamizar, Michael A. 1 Roy, Saikat 1 Saito, Kiche-Suke 1 Sano, Hiroki 1 Sirota, Leonid 1 Takahashi, Yasuji 1 Takahasi, Sin-Ei 1 The, Pham Thanh 1 Tomizawa, Yukino 1 Van, Doan Thi Thuy 1 Varošanec, Sanja 1 Wang, Jing 1 Yang, Zhijian 1 Zając, Tomasz all top 5 Cited in 24 Serials 6 Mathematical Inequalities & Applications 6 Nihonkai Mathematical Journal 5 Journal of Mathematical Analysis and Applications 4 Journal of Inequalities and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Banach Journal of Mathematical Analysis 3 Annals of Functional Analysis 2 Mathematische Nachrichten 2 Acta Mathematica Sinica. English Series 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 1 Analysis Mathematica 1 Linear and Multilinear Algebra 1 Applied Mathematics and Computation 1 Kyungpook Mathematical Journal 1 International Journal of Mathematics 1 Aequationes Mathematicae 1 Filomat 1 Abstract and Applied Analysis 1 Journal of Nonlinear and Convex Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 ISRN Mathematical Analysis all top 5 Cited in 7 Fields 49 Functional analysis (46-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 2 Operator theory (47-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) Citations by Year