The Daugavet equation for polynomials on C⁎-algebras and JB⁎-triples

Cabezas, David; Martín Suárez, Miguel; Peralta Pereira, Antonio Miguel

doi:10.1016/j.aim.2023.109479

Artículo publicado (open access) (515.2Kb)

Identificadores

URI: https://hdl.handle.net/10481/87137

DOI: 10.1016/j.aim.2023.109479

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Elsevier

Date

2024-03

Referencia bibliográfica

Advances in Mathematics Volume 439, March 2024, 109479

Abstract

We prove that every JB∗-triple E (in particular, every C∗- algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every weakly compact polynomial P : E −→ E satisfies the Daugavet equation IdX +P = 1 + P . The analogous conclusion also holds for the alternative Daugavet property

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