Esaslı nilpotent Lie cebirleri için Berger-Wang formülü

Abstract

In this thesis, it proved that if a closed Banach algebra is generated by a nilpotent Lie algebra , then the Berger-Wang formula holds for every precompact subset. It is also proved that Berger-Wang formula holds for a closed Banach algebra generated by both an essentially nilpotent and solvable Lie algebra for every precompact subsets of it. Finally, it is presented whether Berger-Wang formula holds for a Banach algebra generated by a quasisolvable Lie algebra or not as an open problem.