DERIVATIONS MAPPING INTO THE SOCLE, II

Authors
BRESAR M
Citation
M. Bresar, DERIVATIONS MAPPING INTO THE SOCLE, II, Proceedings of the American Mathematical Society, 126(1), 1998, pp. 181-187
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
1
Year of publication
1998
Pages
181 - 187
Database
ISI
SICI code
0002-9939(1998)126:1<181:DMITSI>2.0.ZU;2-G
Abstract
Let A be a unital Banach algebra. Several characterizations of continu ous derivations of A having only elements with finite spectrum in thei r ranges are obtained. In particular, if A is semisimple, then such de rivations map A into its socle.