Every commutative JB∗‑triple satisfies the complex Mazur–Ulam property

Cabezas, David; Peralta Pereira, Antonio Miguel

doi:10.1007/s43034-022-00204-6

s43034-022-00204-6.pdf (1.016Mb)

Identificadores

URI: http://hdl.handle.net/10481/76700

DOI: 10.1007/s43034-022-00204-6

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Editorial

Birkhäuser

Materia

Isometry

Tingley's problem

Mazur-Ulam property

Abelian JB*-triples

Date

2022-08-07

Referencia bibliográfica

Cabezas, D... [et al.]. Every commutative JB∗-triple satisfies the complex Mazur–Ulam property. Ann. Funct. Anal. 13, 60 (2022). [https://doi.org/10.1007/s43034-022-00204-6]

Sponsorship

Universidad de Granada/CBUA

Abstract

We prove that every commutative JB*-triple, represented as a space of continuous functions C-0(T)(L), satisfies the complex Mazur-Ulam property, that is, every surjective isometry from the unit sphere of C-0(T)(L) onto the unit sphere of any complex Banach space admits an extension to a surjective real linear isometry between the spaces.

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