关于Riesz乘积空间的表示(英文)

On the representation of Riesz product spaces

得出一些 Riesz乘积空间与它的每一个因子空间之间在投影带和主投影带方面的关系 ,还得出 Riesz乘积空间 (或侧完备 Riesz空间 )表示为 C( X) (这里 X是某一紧 Hausdorff空间 )

In this paper,the authors obtain some relations on the projection bands and principal projection bands between a Riesz product space and its each factor space .A necessary and sufficient conditon is obtained under which a Riesz product space (or a laterally complete Riesz space) can be represented as a C(X) for some compact Hausdorff sapce X.