Research field (2):
Mathematical analysis
, Basic analysis
Research keywords (3):
等距離写像
, 保存問題
, バナッハ環
Research theme for competitive and other funds (2):
2021 - 2025 Isometries on Banach algebras
2020 - 2024 Banach空間上のスペクトル保存写像とその応用
Papers (17):
Osamu Hatori, Shiho Oi. Non-linear characterization of Jordan $$*$$-isomorphisms via maps on positive cones of $$C^*$$-algebras. Acta Scientiarum Mathematicarum. 2024
Shiho Oi. ISOMETRIES AND HERMITIAN OPERATORS ON SPACES OF VECTOR-VALUED LIPSCHITZ MAPS. Journal of the Institute of Mathematics of Jussieu. 2023. 1-18
Shiho OI. Isometries, Jordan *-isomorphisms and order isomorphisms on spaces of a unital $C^*$-algebra-valued continuous maps. 2023. B93. 133-141
Ying-Fen Lin, Shiho Oi. Linear preservers on idempotents of Fourier algebras. Canadian Mathematical Bulletin. 2023. 1-15
Shiho Oi. Jordan ∗-homomorphisms on the spaces of continuous maps taking values in C∗-algebras. Studia Math. 2023. 269. no.1. 107-119
OI SHIHO, HATORI OSAMU. HERMITIAN OPERATORS ON BANACH ALGEBRAS OF VECTOR-VALUED LIPSCHITZ MAPS : JOINT WORK WITH OSAMU HATORI (等距離写像研究の多角的アプローチ). 数理解析研究所講究録. 2017. 2035. 168-172
Lectures and oral presentations (44):
Surjective linear isometries on Banach algebras of continuous functions
(Trojan Math Seminar, Troy University 2024)
Isometries between groups of invertible elements in Fourier-Stieltjes algebras
(Joint Mathematics Meetings 2024 (AMS Special Session on New Faces in Operator Theory and Function Theory) 2024)
フーリエ環のべき等元を保存する写像
(2023年度 関数環研究集会 2023)
Linear preservers on idempotents of Fourier algebras
(Recent Progress in Operator Theory and its Applications (RIMS 共同研究) 2023)