Derivations on Banach algebras
Let D be a derivation on a Banach algebra; by using the operator D2, we give necessary and sufficient conditions for the separating ideal of D to be nilpotent. We also introduce an ideal M(D) and apply it to find out more equivalent conditions for the continuity of D and for nilpotency of its separa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203209108 |
| Summary: | Let D be a derivation on a Banach algebra; by using the
operator D2, we give necessary and sufficient conditions for
the separating ideal of D to be nilpotent. We also introduce an
ideal M(D) and apply it to find out more equivalent conditions
for the continuity of D and for nilpotency of its separating
ideal. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |