Table of Contents:
  • Uniformally bounded families of holomorphic maps and locally uniform convergence
  • Topological consequences of the group structure of the set of automorphisms
  • The caratheodory distance and completeness properties of the group of automorphisms
  • The Lie algebra of complete vector fields
  • The natural topology on the Lie algebra of complete vector fields
  • The Banach Lie group structure of the set of automorphisms
  • Bounded circular domains
  • Automorphisms of the unit ball of some classical Banach spaces
  • Bounded symmetric domains
  • The Jordan theory of bounded symmetric domains.