关于Hille-Yosida条件的等价刻画

A Characterization Equivalent to the Hille Yosida Conditions

中文关键词:  C₀－半群  积分半群  Hille－Yosida条件

英文关键词:C₀-semigroup  integrated semigroup  Hill Yosida conditions.

中文摘要:

      本文得到了算子半群理论中的Ｈｉｌｅ－Ｙｏｓｉｄａ条件［１－５］的等价刻画，同时对Ａｒｅａｄｔ与Ｋｅｌｅｒｍａｎｎ的结果［４］作了相应的改进．

英文摘要:

      This paper obtains a characterization equivalent to the Hille-Yosida conditions in the theory of the semigroups of operators. Meanwhile, this paper improves result obtained by Arendt and Kellermann.