Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators
From the authors introduction. The main result in this paper claims that images of all differential operators in a Banach algebra are enough massive unless the differentiation is locally algebraic. As consequences, several generalizations of a theorem of \textit{C. Le Page} [C. R. Acad. Sci., Paris, Sér. A 265, 235-237 (1967; Zbl 0158.141)], a characterization of elements which are nilpotent or algebraic modulo radical, some conditions of subadditivity and continuity of the spectral radius etc. have been obtained.
characterization of elements which are nilpotent or algebraic modulo radical
scientific article; zbMATH DE number 4040581