Continuity in fundamental locally multiplicative topological algebras

Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.

Keywords:

Keywords: FLM algebra , continuity , spectral radius , spectrum function , homomorphism