Wavelet and Linear Algebra

Abstract ‎In this paper‎, ‎we investigate the automatic continuity of linear mappings and homomorphisms on certain class of fundamental F-algebras and more generally on topological algebras‎. ‎Some examples illustrating these results are presented as well.‎In this paper‎, ‎we investigate the automatic continuity of linear mappings and homomorphisms on certain class of fundamental F-algebras and more generally on topological algebras‎. Some examples illustrating these results are presented as wel

Abstract     In this paper, we first investigate the continuity of the spectral radius functions on continuous inverse algebras. Then we support our results by some examples. Finally, we continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms on these algebras.