# CONTINUITY IN FUNDAMENTAL LOCALLY MULTIPLICATIVE TOPOLOGICAL ALGEBRAS

Document Type: Research Paper

Authors

Department of Mathematics, Payame Noor University,Iran

10.22075/ijnaa.2019.13751.1715

Abstract

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