有界广义逆模映射的刻画及其应用

The Characterization of Bounded Generalized Inverse Module Maps and Application

本文引入了有界广义逆模映射的概念,并给出了等价刻画．然后利用它为工具获得了一类重要的有界模映射的因子分解定理,使得著名的Douglas分解定理成为其特例．

In this paper, we introduce the concept of ＂Bounded generalized inverse module maps＂ and give an equivalent characterization. As application, we obtain a factor decomposition theorem of certain important bounded module maps, such that the famous Douglas decomposition theorem on Hilbert space becomes a special case.