An Approximation for Exponential Bounded α-times Integrated Bi-continuous C-semigroups
YU Xiao-hong · Journal of Chongqing Technology and Business University · 2012
In the operator theory,in order to discuss some properties of semigroups which aren't strong continuous,a whole range of semigroups on Banach spaces having weaker continuity which are strongly continuous semigroups on locally convex spaces is introduced.Index bounded α-times integrated bi-continuous C-semigroups are drawn into on the basis of bi-continuous C-semigroups and α-times integrated C-semigroups,after discussion and verification,an approximation theorem for index bounded α-times integrated bi-continuous C-semigroups is obtained.