局部凸Hausdorff空间中的Drop定理和Drop性质

Drop Theorem and Drop Property in Local Convex Hausdorff Spaces

证明了局部凸H ausdorff空间中的一个D rop定理,提出了局部凸H ausdorff空间中的-τdrop性质、拟-τdrop性质和局部D rop性质.并证明τ-序列紧凸集具有-τdrop性质,τ-可数紧凸集具有拟-τdrop性质以及局部序列紧凸集都具有局部D rop性质.

A drop theorem in local convex Hausdorff spaces is proved, and τ-drop property, quasl-τ-drop property and local drop property are introduced. Moreover,it＇s proved that every τ-sequentially compact convex set has the τ-drop property,every τ-countably compact convex set has the quai-τ-drop property and every compact convex set of local sequences has the local drop property.