Edit Profile (opens in new tab) Tanaka, Ryotaro Compute Distance To: Compute Author ID: tanaka.ryotaro Published as: Tanaka, Ryotaro Documents Indexed: 52 Publications since 2000 Co-Authors: 15 Co-Authors with 33 Joint Publications 321 Co-Co-Authors all top 5 Co-Authors 17 single-authored 27 Saito, Kichisuke 13 Komuro, Naoto 5 Mitani, Ken-Ichi 3 Mizuguchi, Hiroyasu 2 Sain, Debmalya 2 Sato, Masahiro 2 Tomizawa, Yukino 1 Endo, Hiroshi 1 Nakamura, Takashi 1 Ohwada, Tomoyoshi 1 Peralta, Antonio M. 1 Saito, Kiche-Suke 1 Takizawa, Kenji 1 Yabe, Takashi 1 Yokoyama, Shumpei all top 5 Serials 8 Journal of Mathematical Analysis and Applications 5 Annals of Functional Analysis 4 Journal of Nonlinear and Convex Analysis 3 Nihonkai Mathematical Journal 3 Banach Journal of Mathematical Analysis 2 Bulletin of the Australian Mathematical Society 2 Mathematische Nachrichten 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 1 Computer Physics Communications 1 Journal of Computational Physics 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae Debrecen 1 Tokyo Journal of Mathematics 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Journal of Inequalities and Applications 1 Scientiae Mathematicae Japonicae 1 Operators and Matrices 1 Journal of Mathematical Inequalities 1 Mathematical Modelling of Natural Phenomena 1 Science China. Mathematics 1 Linear and Nonlinear Analysis 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 49 Functional analysis (46-XX) 6 Operator theory (47-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 225 times in 133 Documents Cited by ▼ Year ▼ Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique. Zbl 0995.65094Nakamura, Takashi; Tanaka, Ryotaro; Yabe, Takashi; Takizawa, Kenji 40 2001 Constructing exactly conservative scheme in a non-conservative form. Zbl 0959.65097Tanaka, R.; Nakamura, T.; Yabe, T. 27 2000 A further property of spherical isometries. Zbl 1312.46021Tanaka, Ryotaro 26 2014 The solution of Tingley’s problem for the operator norm unit sphere of complex \(n\times n\) matrices. Zbl 1382.15034Tanaka, Ryotaro 22 2016 Tingley’s problem on finite von Neumann algebras. Zbl 1371.46009Tanaka, Ryotaro 19 2017 Tingley’s problem on symmetric absolute normalized norms on \(\mathbb R^2\). Zbl 1312.46020Tanaka, Ryotaro 14 2014 Spherical isometries of finite dimensional \(C^{\ast}\)-algebras. Zbl 1371.46008Tanaka, Ryotaro 14 2017 A solution to Tingley’s problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples. Zbl 07033414Peralta, Antonio M.; Tanaka, Ryotaro 12 2019 On the class of Banach spaces with James constant \(\sqrt{2}\). Zbl 1354.46019Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 9 2016 Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems. Zbl 1401.46040Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2018 On symmetry of Birkhoff orthogonality in the positive cones of \(C^{\ast}\)-algebras with applications. Zbl 1423.46024Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2019 On the calculation of the Dunkl-Williams constant of normed linear spaces. Zbl 1283.46013Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2013 Left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. Zbl 1412.46026Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 5 2018 In vitro vasculogenesis models revisited – measurement of VEGF diffusion in matrigel. Zbl 1167.92005Miura, T.; Tanaka, R. 5 2009 Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. Zbl 1486.46017Tanaka, Ryotaro 5 2022 On symmetry of strong Birkhoff orthogonality in \(B(\mathcal{H},\mathcal{K})\) and \(K(\mathcal{H},\mathcal{K})\). Zbl 1461.46011Tanaka, Ryotaro; Sain, Debmalya 4 2020 Modular Birkhoff-James orthogonality in \(B(\mathbb{X,Y})\) and \(K(\mathbb{X,Y})\). Zbl 1450.46012Sain, Debmalya; Tanaka, Ryotaro 3 2020 On the class of Banach spaces with James constant \(\sqrt 2\). II. Zbl 1362.46013Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 3 2016 When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)? Zbl 1339.46013Saito, Kichi-Suke; Sato, Masahiro; Tanaka, Ryotaro 3 2015 Orthonormal bases and a structure of finite dimensional normed linear spaces. Zbl 1300.46017Tanaka, Ryotaro; Saito, Kichi-Suke 3 2014 Every \(n\)-dimensional normed space is the space \(\mathbb R^n\) endowed with a normal norm. Zbl 1286.46023Tanaka, Ryotaro; Saito, Kichi-Suke 3 2012 A characterization of Radon planes using generalized Day-James spaces. Zbl 1452.46016Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2020 Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions. Zbl 1471.46009Tanaka, Ryotaro 2 2021 A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino 2 2017 On vector-valued Banach limits with values in \(\mathcal B(H)\). Zbl 1399.40022Tanaka, Ryotaro 2 2018 Another approach to extreme norms on \(\mathbb{R}^{2}\). Zbl 1348.46018Yokoyama, Shumpei; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2016 The Dunkl-Williams constant of symmetric octagonal norms on \(\mathbb{R}^2\). Zbl 1267.46029Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2012 Geometric constants of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^{2}\). Zbl 1378.46016Tomizawa, Yukino; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2017 On the class of Banach spaces with James constant \(\sqrt{2}\). III. Zbl 1385.46010Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2017 Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. II. Zbl 1498.46016Tanaka, Ryotaro 1 2022 \(C^*\)-algebras with weak\(^*\) angelic dual balls. Zbl 1466.46047Tanaka, Ryotaro 1 2020 On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 On generalized Beckner’s inequality. Zbl 1330.46020Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 Constructing a Lipschitz retraction from \(\mathcal{B}(\mathcal{H})\) onto \(\mathcal{K}(\mathcal{H})\). Zbl 1440.46049Tanaka, Ryotaro 1 2019 Geometric constants and characterizations of inner product spaces. Zbl 1308.46025Tanaka, Ryotaro; Ohwada, Tomoyoshi; Saito, Kichi-Suke 1 2014 Another approach to Beckner’s inequality. Zbl 1285.46011Tanaka, Ryotaro; Saito, Kichi-Suke; Komuro, Naoto 1 2013 Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. Zbl 1486.46017Tanaka, Ryotaro 5 2022 Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. II. Zbl 1498.46016Tanaka, Ryotaro 1 2022 Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions. Zbl 1471.46009Tanaka, Ryotaro 2 2021 On symmetry of strong Birkhoff orthogonality in \(B(\mathcal{H},\mathcal{K})\) and \(K(\mathcal{H},\mathcal{K})\). Zbl 1461.46011Tanaka, Ryotaro; Sain, Debmalya 4 2020 Modular Birkhoff-James orthogonality in \(B(\mathbb{X,Y})\) and \(K(\mathbb{X,Y})\). Zbl 1450.46012Sain, Debmalya; Tanaka, Ryotaro 3 2020 A characterization of Radon planes using generalized Day-James spaces. Zbl 1452.46016Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2020 \(C^*\)-algebras with weak\(^*\) angelic dual balls. Zbl 1466.46047Tanaka, Ryotaro 1 2020 A solution to Tingley’s problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples. Zbl 07033414Peralta, Antonio M.; Tanaka, Ryotaro 12 2019 On symmetry of Birkhoff orthogonality in the positive cones of \(C^{\ast}\)-algebras with applications. Zbl 1423.46024Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2019 Constructing a Lipschitz retraction from \(\mathcal{B}(\mathcal{H})\) onto \(\mathcal{K}(\mathcal{H})\). Zbl 1440.46049Tanaka, Ryotaro 1 2019 Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems. Zbl 1401.46040Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2018 Left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. Zbl 1412.46026Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 5 2018 On vector-valued Banach limits with values in \(\mathcal B(H)\). Zbl 1399.40022Tanaka, Ryotaro 2 2018 Tingley’s problem on finite von Neumann algebras. Zbl 1371.46009Tanaka, Ryotaro 19 2017 Spherical isometries of finite dimensional \(C^{\ast}\)-algebras. Zbl 1371.46008Tanaka, Ryotaro 14 2017 A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino 2 2017 Geometric constants of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^{2}\). Zbl 1378.46016Tomizawa, Yukino; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2017 On the class of Banach spaces with James constant \(\sqrt{2}\). III. Zbl 1385.46010Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2017 The solution of Tingley’s problem for the operator norm unit sphere of complex \(n\times n\) matrices. Zbl 1382.15034Tanaka, Ryotaro 22 2016 On the class of Banach spaces with James constant \(\sqrt{2}\). Zbl 1354.46019Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 9 2016 On the class of Banach spaces with James constant \(\sqrt 2\). II. Zbl 1362.46013Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro 3 2016 Another approach to extreme norms on \(\mathbb{R}^{2}\). Zbl 1348.46018Yokoyama, Shumpei; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2016 When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)? Zbl 1339.46013Saito, Kichi-Suke; Sato, Masahiro; Tanaka, Ryotaro 3 2015 On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 On generalized Beckner’s inequality. Zbl 1330.46020Saito, Kichi-Suke; Tanaka, Ryotaro 1 2015 A further property of spherical isometries. Zbl 1312.46021Tanaka, Ryotaro 26 2014 Tingley’s problem on symmetric absolute normalized norms on \(\mathbb R^2\). Zbl 1312.46020Tanaka, Ryotaro 14 2014 Orthonormal bases and a structure of finite dimensional normed linear spaces. Zbl 1300.46017Tanaka, Ryotaro; Saito, Kichi-Suke 3 2014 Geometric constants and characterizations of inner product spaces. Zbl 1308.46025Tanaka, Ryotaro; Ohwada, Tomoyoshi; Saito, Kichi-Suke 1 2014 On the calculation of the Dunkl-Williams constant of normed linear spaces. Zbl 1283.46013Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro 6 2013 Another approach to Beckner’s inequality. Zbl 1285.46011Tanaka, Ryotaro; Saito, Kichi-Suke; Komuro, Naoto 1 2013 Every \(n\)-dimensional normed space is the space \(\mathbb R^n\) endowed with a normal norm. Zbl 1286.46023Tanaka, Ryotaro; Saito, Kichi-Suke 3 2012 The Dunkl-Williams constant of symmetric octagonal norms on \(\mathbb{R}^2\). Zbl 1267.46029Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro 2 2012 In vitro vasculogenesis models revisited – measurement of VEGF diffusion in matrigel. Zbl 1167.92005Miura, T.; Tanaka, R. 5 2009 Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique. Zbl 0995.65094Nakamura, Takashi; Tanaka, Ryotaro; Yabe, Takashi; Takizawa, Kenji 40 2001 Constructing exactly conservative scheme in a non-conservative form. Zbl 0959.65097Tanaka, R.; Nakamura, T.; Yabe, T. 27 2000 all cited Publications top 5 cited Publications all top 5 Cited by 173 Authors 25 Tanaka, Ryotaro 16 Peralta, Antonio M. 11 Saito, Kichisuke 7 Fernández-Polo, Francisco J. 6 Huang, XuJian 6 Komuro, Naoto 6 Tan, Dongni 5 Qiu, Jianxian 4 Cueto-Avellaneda, María 4 Mizuguchi, Hiroyasu 4 Ogata, Youichi 4 Sain, Debmalya 4 Wang, Ruidong 4 Yabe, Takashi 3 Becerra Guerrero, Julio 3 Cabello Sánchez, Javier 3 Galego, Elói Medina 3 Li, Yongjin 3 Liu, Qi 3 Shu, Chi-Wang 3 Xiao, Feng 2 Aoki, Takayuki 2 Arambašić, Ljiljana 2 Banakh, Taras Onufrievich 2 Banks, Jeffrey W. 2 Deng, Xi 2 Ding, Guanggui 2 Guterman, Alexander Èmilevich 2 Hatori, Osamu 2 Jiménez-Vargas, Antonio 2 Kuzma, Bojan 2 Li, Jianze 2 Mehrenberger, Michel 2 Mitani, Ken-Ichi 2 Mori, Michiya 2 Rajić, Rajna 2 Sarfraz, Muhammad 2 Sonnendrücker, Eric 2 Takizawa, Kenji 2 Tomizawa, Yukino 2 Xie, Bin 2 Zhilina, Svetlana 2 Zuo, Zhanfei 1 Acar, Rüyam 1 Amini-Harandi, Alireza 1 Amyari, Maryam 1 Anumolu, Lakshman 1 Arrighi, William J. 1 Balestro, Vitor 1 Becerra-Sagredo, Julián-Tercero 1 Berger, Richard 1 Bikchentaev, Aĭrat Midkhatovich 1 Bridges, Thomas J. 1 Brunner, Stephan 1 Cabezas, David 1 Cabrera-Padilla, M. G. 1 Capdeville, Guy 1 Chapman, Thomas 1 Chattopadhyay, Arup 1 Cheng, Lidong 1 Cheng, Lixin 1 Cho, Byoung-Gyu 1 Christlieb, Andrew J. 1 Cidral, Fabiano C. 1 Ciesielski, Maciej 1 Cimino, Andrés M. 1 Cortes, Vinícius Morelli 1 Crouseilles, Nicolas 1 da Silva, André Luís 1 del Carmen Listán-García, María 1 Din, Anwarud 1 Elaskar, Sergio A. 1 Fedkiw, Ronald P. 1 Fujimatsu, Nobuyoshi 1 Furuichi, Mikito 1 Gao, Yueli 1 Garcés, Jorge José 1 Garcia-Pacheco, Francisco Javier 1 Gershkov, Alex 1 Grétarsson, Jón Tómas 1 Guo, Wei 1 Hamiaz, Adnane 1 He, Wuyi 1 Henderson, Nélio 1 Hirota, Daisuke 1 Hittinger, Jeffrey A. F. 1 Ikebata, Akio 1 Ilišević, Dijana 1 Im, Hyo-Nam 1 Imai, Yohsuke 1 Izumida, Tamotsu 1 Jeong, Jae Jun 1 Jiang, Yi 1 Joppich, Wolfgang 1 Jordá, Enrique 1 Kageyama, Akira 1 Kalenda, Ondřej F. K. 1 Kama, Ramazan 1 Kameyama, Masanori 1 Kudoh, Takahiro ...and 73 more Authors all top 5 Cited in 52 Serials 20 Journal of Mathematical Analysis and Applications 17 Journal of Computational Physics 6 Computers and Fluids 6 Annals of Functional Analysis 5 Linear Algebra and its Applications 5 Acta Mathematica Sinica. English Series 5 Banach Journal of Mathematical Analysis 4 Mathematical Inequalities & Applications 4 Nihonkai Mathematical Journal 3 Bulletin of the Australian Mathematical Society 3 Linear and Multilinear Algebra 2 Studia Mathematica 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Aequationes Mathematicae 2 SIAM Journal on Scientific Computing 2 Central European Journal of Mathematics 2 International Journal of Computational Methods 2 Advances in Operator Theory 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Journal of Economic Theory 1 Journal of Functional Analysis 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Tokyo Journal of Mathematics 1 Computational Mechanics 1 Applied Mathematical Modelling 1 Glasnik Matematički. Serija III 1 Indagationes Mathematicae. New Series 1 Positivity 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 European Journal of Mechanics. B. Fluids 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 Acta Mathematica Sinica. Chinese Series 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Communications in Applied and Industrial Mathematics 1 Transactions of the American Mathematical Society. Series B 1 AIMS Mathematics all top 5 Cited in 19 Fields 93 Functional analysis (46-XX) 32 Fluid mechanics (76-XX) 21 Operator theory (47-XX) 21 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 7 Convex and discrete geometry (52-XX) 4 Geometry (51-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Nonassociative rings and algebras (17-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year