A result concerning derivations in Banach algebras

Author:
J. Vukman

Journal:
Proc. Amer. Math. Soc. **116** (1992), 971-975

MSC:
Primary 46H05; Secondary 16W25, 46L57

MathSciNet review:
1079710

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Abstract | References | Similar Articles | Additional Information

Abstract: The main result: Let be a Banach algebra over the complex field . Suppose there exists a continuous derivation , such that is a derivation for some . In this case maps into its radical.

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1992-1079710-7

Keywords:
Banach algebra,
commutative Banach algebra,
-algebra,
prime ring,
semiprime ring,
derivation,
inner derivation

Article copyright:
© Copyright 1992
American Mathematical Society