In order to enrich the theory of semigroups,based on the definition of completely continuous C-semigroups and the properties of C-semigroups,the problem of generating completely continuous C-semigroups with operator A under the condition of dense definite closure and the perturbed problem of completely continuous C-semigroups with C being a general bounded operator are discussed.The generation theorems and perturbation theorems of completely continuous C-semigroups are obtained.The research results extend the content of completely continuous C-semigroup,enrich its application field,and make the operator semigroup theory more perfect.
维普
万方数据