Ryotaro Tanaka

ORCID: 0000-0003-2482-9203
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Research Areas
  • Advanced Banach Space Theory
  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Holomorphic and Operator Theory
  • Optimization and Variational Analysis
  • Mathematical Inequalities and Applications
  • Approximation Theory and Sequence Spaces
  • Advanced Numerical Analysis Techniques
  • Advanced Differential Geometry Research
  • Fixed Point Theorems Analysis
  • Functional Equations Stability Results
  • Advanced Topology and Set Theory
  • Advanced Algebra and Logic
  • Matrix Theory and Algorithms
  • advanced mathematical theories
  • Algebraic structures and combinatorial models
  • Point processes and geometric inequalities
  • Mathematical Analysis and Transform Methods
  • Advanced Harmonic Analysis Research
  • Computational Geometry and Mesh Generation
  • Computational Fluid Dynamics and Aerodynamics
  • Fuzzy and Soft Set Theory
  • Electrohydrodynamics and Fluid Dynamics
  • Digital Image Processing Techniques
  • Multi-Criteria Decision Making

Tokyo University of Science
2018-2024

Niigata University
2012-2018

Kyushu University
2017-2018

Liberal Arts University
2015-2018

Kyushu Institute of Technology
2018

Hokkaido University of Education
2018

Tokyo Institute of Technology
2000-2001

Two semi-Lagrangian schemes that guarantee exactly mass conservation are proposed. Although they in a nonconservative form, the interpolation functions constructed under constraint of cell-integrated value (mass) is advanced by remapping Lagrangian volume. Consequently, resulting conserve for each computational grid cell. One them (CIP–CSL4) direct extension original cubic-interpolated propagation (CIP) method which cubic polynomial used as function and gradient calculated according to...

10.1175/1520-0493(2001)129<0332:aecsls>2.0.co;2 article EN other-oa Monthly Weather Review 2001-02-01

Abstract In this paper, it is proved that every isometry between the unit spheres of two real Banach spaces preserves frames balls. As a consequence, if $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq \ge =\geqslant \geq \def \Pr {\mathit {Pr}}\def \Fr {Fr}}\def \Rey {Re}}X$ and $Y$ are $n$ -dimensional $T_0$ an from sphere $X$ onto then maps set all $(n-1)$ -extreme points ball .

10.1017/s0004972714000185 article EN Bulletin of the Australian Mathematical Society 2014-05-15

10.1016/j.jmaa.2017.02.013 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2017-02-15

10.1016/j.jmaa.2025.129559 article EN cc-by-nc-nd Journal of Mathematical Analysis and Applications 2025-04-01

10.1007/s10474-025-01520-8 article EN cc-by Acta Mathematica Academiae Scientiarum Hungaricae 2025-04-24

10.1007/s10114-014-3491-y article EN Acta Mathematica Sinica English Series 2014-07-08

10.1016/j.jmaa.2016.07.073 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2016-08-05

In this paper, we study the class of Banach spaces with James constant . It is shown that, for a space three or more dimensions, becomes if and only norm induced by an inner product. Moreover, symmetric absolute norms on are completely characterized in terms convex functions unit interval, which provides many new examples such other than Euclidean regular octagonal norms. However, it also that there exist two-dimensional normed outside family

10.1002/mana.201500238 article EN Mathematische Nachrichten 2015-11-19

10.1016/j.jmaa.2021.125444 article EN Journal of Mathematical Analysis and Applications 2021-06-24

10.1016/j.jmaa.2022.126307 article EN Journal of Mathematical Analysis and Applications 2022-05-05

10.1016/j.jmaa.2022.126944 article EN Journal of Mathematical Analysis and Applications 2022-12-20

10.1016/j.jmaa.2019.02.033 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2019-02-12

Abstract Recently, Jiménez-Melado et al. [Jiménez-Melado A., Llorens-Fuster E., Mazcuñán-Navarro E.M., The Dunkl-Williams constant, convexity, smoothness and normal structure, J. Math. Anal. Appl., 2008, 342(1), 298–310] defined the constant DW(X) of a normed linear space X. In this paper we present some characterizations constant. As an application, calculate DW(ℓ2-ℓ∞) in Day-James ℓ2-ℓ∞.

10.2478/s11533-013-0238-4 article EN cc-by-nc-nd Open Mathematics 2013-04-26

In this paper, it is shown that neither proper uniform algebras with closed Choquet boundaries nor regular are not isomorphic to C(K)-spaces respect the structure of Birkhoff-James orthogonality. This gives a geometric nonlinear version fact C(K)-spaces. Moreover, some open problems concerning spaces Banach solved.

10.1016/j.jmaa.2023.127431 article EN cc-by-nc-nd Journal of Mathematical Analysis and Applications 2023-05-19

10.1016/j.jmaa.2018.03.068 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2018-04-03

In this paper, we give a complete description of left symmetric points for Birkhoff orthogonality in the preduals von Neumann algebras. As consequence, except $\mathbb{C}$ , $\ell _{\infty }^{2}$ and $M_{2}(\mathbb{C})$ there are no algebras whose have nonzero orthogonality.

10.1017/s0004972718000849 article EN Bulletin of the Australian Mathematical Society 2018-08-28

A Banach space theoretical characterization of abelian <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript asterisk"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding="application/x-tex">C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>- algebras among all </inline-formula>-algebras is given. As an application, it shown that if A">...

10.1090/bproc/175 article EN cc-by-nc-nd Proceedings of the American Mathematical Society Series B 2023-06-07
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