Completely Continuous of Two-parameter C_0 Semigroups
Deng Fang · 2009
In order to enrich the theory of semigroups,definition of two-parameter C0 semigroups and classical methods in operator semigroups theory are introduced.The concept of completely continuous of two-parameter C0 semigroups is introduced.Characterization of completely continuous two-parameter C0 semigroups solely in terms of properties of its infinitesimal generator is obtained and the relationship between the one-parameter C0 semigroups and two-parameter C0 semigroups is also discussed.