Continuity in fundamental locally multiplicative topological algebras

Document Type : Research Paper


Department of Mathematics, Payame Noor University,Iran


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.


Volume 12, Issue 1
April 2021
Pages 129-141
  • Receive Date: 19 January 2018
  • Revise Date: 16 August 2018
  • Accept Date: 27 April 2019
  • First Publish Date: 11 November 2020