摘要
在文献［１０］的基础上，考虑了定义在区间Ｊ上取值于Ｍｉｋｕｓｉｎｓｋｉ算符域Ｑ的子代数Ｑ＿０（Ｑ＿０可分离的Ｆｒｅｃｈｅｔ空间）的算符函数，较系统和深入研究了它们的连续、圆变、可导、可积等概念和结果，从而利用严格归纳极限拓朴的性质，将其拓广到Ｑ中去，使得算杆函数理论纳入到拓扑向量空间中讨论，为求解一般的算符（常或偏）微分方程奠定了基础。
On the basis of [10] , weconsier the Operator-valued functio ns bedefined on the interual J and the value in the silbalgebra Q_0 of Mikusinski operator field Q, Q_0 is the separated Frechet space，and discuss theirconcept and concl usion ofcontinuity，bounded ar1ati-von property differentiability integrability etc in rather svstemand deeping，this is a generalization and deepeen to the original concept and coclusion ofMikusinski for those thereby，they are extended to Q by the property of the strictinductive limit topolegy，such that this thcory of operator-valued functionsbe discussed in topologieal vector space， his will establish some basis for solving generaliz-ed operator（Ordinany or Partinl）differential equations.
基金
安徽省教委科学基金项目
