σ-C^＊-代数上的完全正映射和stinespring型扩张定理

COMPLETELY POSITIVE MAPS AND STINESPRING'S DILATION THEOREM OVER σ-C~*-ALGEBRAS

研究了σ-C-代数上的完全正映射,获得了共变形式的Stinespring型扩张定理等 一系列结果.所得结果推广和改进了某些已有的结果.

Completely positive maps on σ-C-algebras are studied in this paper. The covariant version of Stinespring's dilation theorem and some results are obtained. The results improve and extend some recent results.