论文标题
c $^*$ - 代数和JB $^*$ - 三重元的多项式的Daugavet方程
The Daugavet equation for polynomials on C$^*$-algebras and JB$^*$-triples
论文作者
论文摘要
我们证明，每个JB $^*$ - 三重$ e $（尤其是每个$ c^*$ - 代数）满足Daugavet属性的满足，也满足了更强大的多项式Daugavet属性，即，每个弱紧凑的多项式$ p \ colon e \ longright e \ longrightArrow e $都满足daug $} $} + \ y \ | p \ | = 1+\|P\|$.类似的结论也适用于替代道路属性。
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.
