让 E 是一张排有限的指导的图,让 G 是有双组 = 的局部地紧缩的可换群,让是从 E 的一张标记的地图 * 到,并且让(C *(E) , G,) 是 C * 旁边定义的动态系统。有关 C 的嵌入 AF 构造的某 mappings *(E) 堨琠????????????????? ?数 ? 牂睯楮湡??
Let E be a Hilbert C*-module,and ■ be an orthogonally complemented closed submodule of E.The authors generalize the definitions of ■-complementability and ■-compatibility for general(adjointable) operators from Hilbert space to Hilbert C*-module,and discuss the relationship between each other.Several equivalent statements about ■-complementability and ■-compatibility,and several representations of Schur complements of ■-complementable operators(especially,of ■-compatible operators and of positive ■-compatible operators) on a Hilbert C*-module are obtained.In addition,the quotient property for Schur complements of matrices is generalized to the quotient property for Schur complements of ■-complementable operators and ■*-complementable operators on a Hilbert C*-module.