Banach代数的满同态的自动连续问题

The Continuity of Epimorphisms on the Banach Algebras

研究了从任意交换的Ｂａｎａｃｈ代数到交换半素Ｂａｎａｃｈ代数的满代数同态的自动连续问题，得到了从交换Ｂａｎａｃｈ代数到交换半素Ｂａｎａｃｈ代数自动连续问题的一个定理．

In this paper, the automatic continuity problem of the epimorphisms on the Banach algebras is explored. We study the separating ideal on the Banach algebra, and obtain some propositions of separating ideal. Finally by using the results obtained, the continuity of epimorphisms on Banach algebras is given.