函数Hilbert空间上共轭复合算子的次正常性

The Subnormality of Conjugate Composite Operatorsin functional Hilbert Space

给出了函数Ｈｉｌｂｅｒｔ空间上共轭复合算子为次正常的充要条件，推广了Ｃｏｗｅｎ的主要结果．讨论了Ｈａｒｄｙ空间Ｈ２（Ｄ）及Ｂｅｒｇｍａｎ空间Ｌ（Ｄ）上的几个复合算子的次正常性。

A necessary and sufficient condition is given that conjugate composite operatorsis subnormal in functional Hilbert space. The main result of Cowen is extended. Moreover,this paperhas also discussed that the subnormality of some composite operators in Hardy space H2 (D) andBergman space L(D).