The Daugavet equation for polynomials on C⁎-algebras and JB⁎-triples
Metadatos
Mostrar el registro completo del ítemEditorial
Elsevier
Fecha
2024-03Referencia bibliográfica
Advances in Mathematics Volume 439, March 2024, 109479
Resumen
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