在已有的Z-空间、B-Z-空间和共轭Z-空间的概念的基础上,引出了Z-空间中的共轭算子的概念,证明了RZ(Y,Z)与共轭Z-空间都是B-Z-空间.同时将泛函分析中的Banach-steinhaus定理推广到Z-空间之中,并探讨了共轭Z-空间与共轭Z-算子的有关性质.
The paper introduces the concept of conjugate operator in Z - spaces on the basis of the concept of Z - spaces, B -Z - spaces and conjugate Z - spaces. It proves that both Rz(Y,Z) and conjugate Z - spaces are B - Z - spaces. Analogues Banach - steinhaus theorem are extended in Z - spaces. Finally, the paper discusses the properties of conjugate Z - spaces and conjugate Z - operator.