Abstract
AbstractWe prove that every commutative JB$$^*$$∗-triple, represented as a space of continuous functions$$C_0^{\mathbb {T}}(L),$$C0T(L),satisfies the complex Mazur–Ulam property, that is, every surjective isometry from the unit sphere of$$C_0^{\mathbb {T}}(L)$$C0T(L)onto the unit sphere of any complex Banach space admits an extension to a surjective real linear isometry between the spaces.
Funder
Ministerio de Ciencia, Innovación y Universidades
Agencia de Innovación y Desarrollo de Andalucía
EPSRC
JSPS KAKENHI
Universidad de Granada
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Analysis,Algebra and Number Theory
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