积分算子半群的逼近与表示

Approximation and representation of integrated semigroups of operators

研究积分算子半群的Yosida逼近,证明了积分算子半群可以表示为一簇一致连续算子半群积分的极限,获得了积分算子半群的一个表示公式.

Yosida approximation of integrated operator semigroups is studied and that integrated operator semigroups can be represented as integral limit of a consistent cluster continual operrator semigroup is proved, as a result, a representative formula of integrated operator semigroups is obtained.