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20092026
most citedMultiplicatively spectrum-preserving and norm-preserving maps between invertible groups of commutative Banach algebras

18 citations · 27 across the 18 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.FA2021

The Mazur-Ulam property for uniform algebras

Osamu Hatori

We give a sufficient condition for a Banach space with which the homogeneous extension of a surjective isometry from the unit sphere of it onto another one is real-linear. The cond…

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…