On the Single-Valued Extension Property and Analyticity of Semigroups
Guangyan Liu · Journal of Information Engineering University · 2010
This paper explores the relation between single-valued extension property of C0-semigruops and that of resolvents of their infinitesimal generators,proves that if for some t00,T(t0) has the single-valued extension property,A and R(λ,A)(Reλω) have the single-valued extension property too;The paper also gives conditions that C(z)A(z)x is analytic in Ω for a C(z)-semigroup family.