International Journal of Nonlinear Analysis and Applications

Continuity in fundamental locally multiplicative topological algebras

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University,Iran

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

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 129-141
  • Receive Date: 19 January 2018
  • Revise Date: 16 August 2018
  • Accept Date: 27 April 2019