4 citations · 5 across the 3 of their papers we have counts for
4 papers
Jordan -homomorphisms on the spaces of continuous maps taking values in -algebras
Shiho Oi
Let be a unital -algebra. We consider Jordan -homomorphisms on and Jordan -homomorphisms on . More…
Tingley's problem on uniform algebras
Osamu Hatori, Shiho Oi, Rumi Shindo Togashi
We prove that a surjective isometry between the unit spheres of two uniform algebras is extended to a surjective real-linear isometry between the uniform algebras. It provides the…
A generalization of the Kowalski -S\{l} odkowski theorem and its application to 2-local maps on function spaces
Shiho Oi
In this paper, we extend a spherical variant of the Kowalski-S\{l}odkowski theorem due to Li, Peralta, Wang and Wang. As a corollary, we prove that every 2-local map in the set of…
2-local isometries on function spaces
Osamu Hatori, Shiho Oi
We study 2-local reflexivity of the set of all surjective isometries between certain function spaces. We do not assume linearity for isometries. We prove that a 2-local isometry in…