Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators
type: Item
instance of: scholarly article
title: Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators
zbMATH Open document ID: 0638.46034
DOI: 10.1007/BF01240459
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: 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.
reviewed by: Aleksandar Torgašev
Mathematics Subject Classification ID: 46H05
Mathematics Subject Classification ID: 47B47
zbMATH DE Number: 4040581
zbMATH Keywords: derivation of a Banach algebra
zbMATH Keywords: operators of differentiation
zbMATH Keywords: massive set
zbMATH Keywords: characterization of elements which are nilpotent or algebraic modulo radical
zbMATH Keywords: subadditivity
zbMATH Keywords: continuity of the spectral radius
author: Yurii V. Turovskii
author: V. S. Shulman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4040581