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| Main Authors: | , , |
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| Formato: | Preprint |
| Publicado em: |
2022
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| Assuntos: | |
| Acesso em linha: | https://arxiv.org/abs/2206.11621 |
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Sumário:
- 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 $P\colon E \longrightarrow E$ satisfies the Daugavet equation $\|\hbox{id}_{E} + P\| = 1+\|P\|$. The analogous conclusion also holds for the alternative Daugavet property.