论文标题
一些关于正交加性多项式的注释
Some notes on orthogonally additive polynomials
论文作者
论文摘要
我们使用涉及根平均功率和几何平均值的kusraeva的两个多项式身份，从均匀完整的矢量晶格中提供了有界正交的多项式的两种新特征。此外，表明矢量晶格上的多项式在正锥上是正交的，在正圆锥上是正交的。这些结果改善了G. Buskes和作者对有限的正交多项式多项式的最新表征。
We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two polynomial identities of Kusraeva involving the root mean power and the geometric mean. Furthermore, it is shown that a polynomial on a vector lattice is orthogonally additive whenever it is orthogonally additive on the positive cone. These results improve recent characterizations of bounded orthogonally additive polynomials by G. Buskes and the author.
