Generation and perturbation of completely continuous C-semigroups
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.
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维普
