Tingley's problems on uniform algebras
Tingley's problems on uniform algebras
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DOI：
10.1016/j.jmaa.2021.125346
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发表时间：
2021
影响因子：
1.3
通讯作者：
O. Hatori;Shiho Oi;Rumi Shindo Togashi
中科院分区：
文献类型：
--
作者：
O. Hatori;Shiho Oi;Rumi Shindo Togashi
证明了两个一致代数的单位球面之间的满射等距推广为一致代数之间的满射实线性等距。它提供了第一个正解廷利的问题上的Banach空间，而不是一个希尔伯特空间，由解析函数。
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 first positive solution to Tingley's problem on a Banach space, without being a Hilbert space, consisting of analytic functions.