局部凸空间的k一致圆形性

k-UNIFORMLY ROUND PROPERTY ON A LOCALLY CONVEX SPACE

在局部凸空间中引进了k一致圆形(kUR),拓扑k一致圆形(T-kUR)的概念;证明了kUR空间的递推性和在商空间上的遗传性;还证明了有界完备的T-kUR空间是半自反的.

The definitions of k-uniformly round property (kUR) and tpoplogical fc-uniformly round property (T-kUR) on a locally convex space were given. The transitivities in kUR spaces and in their quotient spaces were proved. It is also proved that a bounded complete T-kUR space is half-reflexive.