The Daugavet equation for polynomials on C$^*$-algebras and JB$^*$-triples
Operator Algebras
2024-02-05 v1 Functional Analysis
Abstract
We prove that every JB-triple (in particular, every -algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every weakly compact polynomial satisfies the Daugavet equation . The analogous conclusion also holds for the alternative Daugavet property.
Keywords
Cite
@article{arxiv.2206.11621,
title = {The Daugavet equation for polynomials on C$^*$-algebras and JB$^*$-triples},
author = {David Cabezas and Miguel Martín and Antonio M. Peralta},
journal= {arXiv preprint arXiv:2206.11621},
year = {2024}
}