强压缩积分算子半群与耗散算子

Strong-contraction integrated semigroups and dissipative operators

从n-耗散子的定义出发,证明了强压缩积分算子半群的生成元是1-耗散的,并用1-耗散算子刻画强压缩积分算子半群;最后给出了n-耗散算子的一个重要性质.

The 1 - dissipativeness of the generator of strong - contraction integrated semigroups is proved by means of the definition of n - dissipative operators. is characterized in terms of 1 - dissipative operators. Furthermore, the strong- contraction integrated semigroups Lastly, an important characteristic about n -dissipative operators is obtained.