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math.FA2021
Isometries and hermitian operators on spaces of vector-valued Lipschitz maps
Shiho Oi
We study hermitian operators and isometries on spaces of vector-valued Lipschitz maps with the sum norm: . There are two main theorems in this paper. F…
math.FA2021
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…