## Tanaka, Ryotaro

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 Author ID: tanaka.ryotaro Published as: Tanaka, Ryotaro
 Documents Indexed: 50 Publications since 2000 Co-Authors: 15 Co-Authors with 33 Joint Publications 317 Co-Co-Authors
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### Co-Authors

 15 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
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### Serials

 7 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 1 Tokyo Journal of Mathematics 1 Linear Algebra and its Applications 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
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### Fields

 47 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)

### Citations contained in zbMATH Open

34 Publications have been cited 244 times in 125 Documents Cited by Year
Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique. Zbl 0995.65094
Nakamura, Takashi; Tanaka, Ryotaro; Yabe, Takashi; Takizawa, Kenji
2001
Constructing exactly conservative scheme in a non-conservative form. Zbl 0959.65097
Tanaka, R.; Nakamura, T.; Yabe, T.
2000
A further property of spherical isometries. Zbl 1312.46021
Tanaka, Ryotaro
2014
The solution of Tingley’s problem for the operator norm unit sphere of complex $$n\times n$$ matrices. Zbl 1382.15034
Tanaka, Ryotaro
2016
Tingley’s problem on finite von Neumann algebras. Zbl 1371.46009
Tanaka, Ryotaro
2017
Spherical isometries of finite dimensional $$C^{\ast}$$-algebras. Zbl 1371.46008
Tanaka, Ryotaro
2017
Tingley’s problem on symmetric absolute normalized norms on $$\mathbb R^2$$. Zbl 1312.46020
Tanaka, Ryotaro
2014
A solution to Tingley’s problem for isometries between the unit spheres of compact $$\mathrm C^*$$-algebras and $$\mathrm {JB}^*$$-triples. Zbl 07033414
Peralta, Antonio M.; Tanaka, Ryotaro
2019
On the class of Banach spaces with James constant $$\sqrt{2}$$. Zbl 1354.46019
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
On symmetry of Birkhoff orthogonality in the positive cones of $$C^{\ast}$$-algebras with applications. Zbl 1423.46024
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2019
Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems. Zbl 1401.46040
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2018
On the calculation of the Dunkl-Williams constant of normed linear spaces. Zbl 1283.46013
Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro
2013
Left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. Zbl 1412.46026
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2018
In vitro vasculogenesis models revisited – measurement of VEGF diffusion in matrigel. Zbl 1167.92005
Miura, T.; Tanaka, R.
2009
On symmetry of strong Birkhoff orthogonality in $$B(\mathcal{H},\mathcal{K})$$ and $$K(\mathcal{H},\mathcal{K})$$. Zbl 1461.46011
Tanaka, Ryotaro; Sain, Debmalya
2020
Orthonormal bases and a structure of finite dimensional normed linear spaces. Zbl 1300.46017
Tanaka, Ryotaro; Saito, Kichi-Suke
2014
Every $$n$$-dimensional normed space is the space $$\mathbb R^n$$ endowed with a normal norm. Zbl 1286.46023
Tanaka, Ryotaro; Saito, Kichi-Suke
2012
On the class of Banach spaces with James constant $$\sqrt 2$$. II. Zbl 1362.46013
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
When does the equality $$J(X^*)=J(X)$$ hold for a two-dimensional Banach space $$X$$? Zbl 1339.46013
Saito, Kichi-Suke; Sato, Masahiro; Tanaka, Ryotaro
2015
Modular Birkhoff-James orthogonality in $$B(\mathbb{X,Y})$$ and $$K(\mathbb{X,Y})$$. Zbl 1450.46012
Sain, Debmalya; Tanaka, Ryotaro
2020
Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. Zbl 07412936
Tanaka, Ryotaro
2022
Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions. Zbl 1471.46009
Tanaka, Ryotaro
2021
A characterization of Radon planes using generalized Day-James spaces. Zbl 1452.46016
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2020
Another approach to extreme norms on $$\mathbb{R}^{2}$$. Zbl 1348.46018
Yokoyama, Shumpei; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
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
2017
The Dunkl-Williams constant of symmetric octagonal norms on $$\mathbb{R}^2$$. Zbl 1267.46029
Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro
2012
On vector-valued Banach limits with values in $$\mathcal B(H)$$. Zbl 1399.40022
Tanaka, Ryotaro
2018
A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011
Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino
2017
$$C^*$$-algebras with weak$$^*$$ angelic dual balls. Zbl 1466.46047
Tanaka, Ryotaro
2020
Another approach to Beckner’s inequality. Zbl 1285.46011
Tanaka, Ryotaro; Saito, Kichi-Suke; Komuro, Naoto
2013
On the class of Banach spaces with James constant $$\sqrt{2}$$. III. Zbl 1385.46010
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2017
On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014
Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro
2015
Geometric constants and characterizations of inner product spaces. Zbl 1308.46025
Tanaka, Ryotaro; Ohwada, Tomoyoshi; Saito, Kichi-Suke
2014
On generalized Beckner’s inequality. Zbl 1330.46020
Saito, Kichi-Suke; Tanaka, Ryotaro
2015
Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality. Zbl 07412936
Tanaka, Ryotaro
2022
Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions. Zbl 1471.46009
Tanaka, Ryotaro
2021
On symmetry of strong Birkhoff orthogonality in $$B(\mathcal{H},\mathcal{K})$$ and $$K(\mathcal{H},\mathcal{K})$$. Zbl 1461.46011
Tanaka, Ryotaro; Sain, Debmalya
2020
Modular Birkhoff-James orthogonality in $$B(\mathbb{X,Y})$$ and $$K(\mathbb{X,Y})$$. Zbl 1450.46012
Sain, Debmalya; Tanaka, Ryotaro
2020
A characterization of Radon planes using generalized Day-James spaces. Zbl 1452.46016
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2020
$$C^*$$-algebras with weak$$^*$$ angelic dual balls. Zbl 1466.46047
Tanaka, Ryotaro
2020
A solution to Tingley’s problem for isometries between the unit spheres of compact $$\mathrm C^*$$-algebras and $$\mathrm {JB}^*$$-triples. Zbl 07033414
Peralta, Antonio M.; Tanaka, Ryotaro
2019
On symmetry of Birkhoff orthogonality in the positive cones of $$C^{\ast}$$-algebras with applications. Zbl 1423.46024
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2019
Symmetric points for (strong) Birkhoff orthogonality in von Neumann algebras with applications to preserver problems. Zbl 1401.46040
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2018
Left symmetric points for Birkhoff orthogonality in the preduals of von Neumann algebras. Zbl 1412.46026
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2018
On vector-valued Banach limits with values in $$\mathcal B(H)$$. Zbl 1399.40022
Tanaka, Ryotaro
2018
Tingley’s problem on finite von Neumann algebras. Zbl 1371.46009
Tanaka, Ryotaro
2017
Spherical isometries of finite dimensional $$C^{\ast}$$-algebras. Zbl 1371.46008
Tanaka, Ryotaro
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
2017
A comparison between James and von Neumann-Jordan constants. Zbl 1384.46011
Komuro, Naoto; Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro; Tomizawa, Yukino
2017
On the class of Banach spaces with James constant $$\sqrt{2}$$. III. Zbl 1385.46010
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2017
The solution of Tingley’s problem for the operator norm unit sphere of complex $$n\times n$$ matrices. Zbl 1382.15034
Tanaka, Ryotaro
2016
On the class of Banach spaces with James constant $$\sqrt{2}$$. Zbl 1354.46019
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
On the class of Banach spaces with James constant $$\sqrt 2$$. II. Zbl 1362.46013
Komuro, Naoto; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
Another approach to extreme norms on $$\mathbb{R}^{2}$$. Zbl 1348.46018
Yokoyama, Shumpei; Saito, Kichi-Suke; Tanaka, Ryotaro
2016
When does the equality $$J(X^*)=J(X)$$ hold for a two-dimensional Banach space $$X$$? Zbl 1339.46013
Saito, Kichi-Suke; Sato, Masahiro; Tanaka, Ryotaro
2015
On the James constants of two-dimensional Lorentz sequence spaces and its dual. Zbl 1346.46014
Mitani, Ken-Ichi; Saito, Kichi-Suke; Tanaka, Ryotaro
2015
On generalized Beckner’s inequality. Zbl 1330.46020
Saito, Kichi-Suke; Tanaka, Ryotaro
2015
A further property of spherical isometries. Zbl 1312.46021
Tanaka, Ryotaro
2014
Tingley’s problem on symmetric absolute normalized norms on $$\mathbb R^2$$. Zbl 1312.46020
Tanaka, Ryotaro
2014
Orthonormal bases and a structure of finite dimensional normed linear spaces. Zbl 1300.46017
Tanaka, Ryotaro; Saito, Kichi-Suke
2014
Geometric constants and characterizations of inner product spaces. Zbl 1308.46025
Tanaka, Ryotaro; Ohwada, Tomoyoshi; Saito, Kichi-Suke
2014
On the calculation of the Dunkl-Williams constant of normed linear spaces. Zbl 1283.46013
Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro
2013
Another approach to Beckner’s inequality. Zbl 1285.46011
Tanaka, Ryotaro; Saito, Kichi-Suke; Komuro, Naoto
2013
Every $$n$$-dimensional normed space is the space $$\mathbb R^n$$ endowed with a normal norm. Zbl 1286.46023
Tanaka, Ryotaro; Saito, Kichi-Suke
2012
The Dunkl-Williams constant of symmetric octagonal norms on $$\mathbb{R}^2$$. Zbl 1267.46029
Mizuguchi, Hiroyasu; Saito, Kichi-Suke; Tanaka, Ryotaro
2012
In vitro vasculogenesis models revisited – measurement of VEGF diffusion in matrigel. Zbl 1167.92005
Miura, T.; Tanaka, R.
2009
Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique. Zbl 0995.65094
Nakamura, Takashi; Tanaka, Ryotaro; Yabe, Takashi; Takizawa, Kenji
2001
Constructing exactly conservative scheme in a non-conservative form. Zbl 0959.65097
Tanaka, R.; Nakamura, T.; Yabe, T.
2000
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### Cited by 161 Authors

 23 Tanaka, Ryotaro 15 Peralta, Antonio M. 11 Saito, Kichisuke 7 Fernández-Polo, Francisco J. 6 Huang, XuJian 6 Komuro, Naoto 6 Tan, Dongni 5 Qiu, Jianxian 4 Mizuguchi, Hiroyasu 4 Ogata, Youichi 4 Sain, Debmalya 4 Yabe, Takashi 3 Becerra Guerrero, Julio 3 Cabello Sánchez, Javier 3 Cueto-Avellaneda, María 3 Galego, Elói Medina 3 Li, Yongjin 3 Liu, Qi 3 Shu, Chi-Wang 2 Aoki, Takayuki 2 Arambašić, Ljiljana 2 Banakh, Taras Onufrievich 2 Banks, Jeffrey W. 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 Wang, Ruidong 2 Xiao, Feng 2 Zhilina, Svetlana 2 Zuo, Zhanfei 1 Acar, Rüyam 1 Amini-Harandi, Alireza 1 Amyari, Maryam 1 Anumolu, Lakshman 1 Arrighi, William J. 1 Becerra-Sagredo, Julián-Tercero 1 Berger, Richard 1 Bikchentaev, Aĭrat Midkhatovich 1 Bridges, Thomas J. 1 Brunner, Stephan 1 Cabrera-Padilla, M. G. 1 Capdeville, Guy 1 Chapman, Thomas 1 Chattopadhyay, Arup 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 Deng, Xi 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 Henderson, Nélio 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 Joppich, Wolfgang 1 Jordá, Enrique 1 Kageyama, Akira 1 Kalenda, Ondřej F. K. 1 Kama, Ramazan 1 Kameyama, Masanori 1 Kudoh, Takahiro 1 Le Roux, Daniel Y. 1 Lentine, Michael 1 Li, Fengyan 1 Li, Hongxia 1 Li, Jinhuan 1 Ling, Bo 1 Liu, Sanyang 1 Lorenzon, Denis ...and 61 more Authors
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### Cited in 48 Serials

 19 Journal of Mathematical Analysis and Applications 17 Journal of Computational Physics 6 Computers and Fluids 5 Linear Algebra and its Applications 5 Acta Mathematica Sinica. English Series 5 Banach Journal of Mathematical Analysis 5 Annals of Functional Analysis 4 Mathematical Inequalities & Applications 4 Nihonkai Mathematical Journal 3 Bulletin of the Australian Mathematical Society 3 Linear and Multilinear Algebra 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 Studia Mathematica 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 Quaestiones Mathematicae 1 Tokyo Journal of Mathematics 1 Computational Mechanics 1 Glasnik Matematički. Serija III 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 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
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### Cited in 17 Fields

 85 Functional analysis (46-XX) 31 Fluid mechanics (76-XX) 23 Operator theory (47-XX) 20 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 6 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Geometry (51-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Real functions (26-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)