Continuity in fundamental locally multiplicative topological algebras

نویسندگان
Naziri-Kordkandi, Ali ID 1
Zohri, Ali ID 2
Yousefi, Bahman ID 3
Ershad, Fariba ID 4

1 Department of Mathematics, Payame Noor University,Iran

2 Department of Mathematics, Payame Noor University,Iran

3 Department of Mathematics, Payame Noor University,Iran

4 Department of Mathematics, Payame Noor University,Iran

doi
10.22075/ijnaa.2019.13751.1715
چکیده

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.

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