- 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...
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 .
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
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∞.
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.
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.
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">...