Generalization of the Hille-Yosida theorem. (English) Zbl 0746.47022
Semigroup theory and evolution equations, Proc. 2nd Int. Conf., Delft/Neth. 1989, Lect. Notes Pure Appl. Math. 135, 371-381 (1991).
[For the entire collection see Zbl 0741.00048.]
The aim of this paper is to obtain the converse of the generation theorem of \(C\)-semigroups with the help of the integrated \(C\)-semigroups. The author justifies his definition of integrated \(C\)-semigroups by two examples and obtains the converse of the generation theorem of \(C\)- semigroups due to E. B. Davies and M. M. Pang [Proc. London Math. Soc., III. Ser. 55, 181-208 (1987; Zbl 0651.47026)].
The aim of this paper is to obtain the converse of the generation theorem of \(C\)-semigroups with the help of the integrated \(C\)-semigroups. The author justifies his definition of integrated \(C\)-semigroups by two examples and obtains the converse of the generation theorem of \(C\)- semigroups due to E. B. Davies and M. M. Pang [Proc. London Math. Soc., III. Ser. 55, 181-208 (1987; Zbl 0651.47026)].
Reviewer: D.Somasundaram (Salem)
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
