Generation theory for semigroups of holomorphic mappingsin Banach spaces
Generation theory for semigroups of holomorphic mappingsin Banach spaces
We study nonlinear semigroups of holomorphic mappings in Banach spaces and their infinitesimal generators. Using resolvents, we characterize, in particular, bounded holomorphic generators on bounded convex domains and obtain an analog of the Hille exponential formula. We then apply our results to the null point theory of semiāplus complete vector ā¦