Trotter-Kato Approximation Theorems for Bi-Continuous n-Times Integrated C-Semigroups
Rui Liu · Journal of North University of China · 2013
Approximation of semigroup sequence includes probabilistic approximation,Trotter-Kato approximation of Laplace inversion form,etc.The approximation theorem of integrated semigroup and bi-continuous C-semigroups were combined,an equivalent proposition for converges of bi-continuous n-times integrated C-semigroups sequence is obtained,and the general Trotter-Kato approximation theorem is given.