Derivations on Banach Algebras
نویسندگان
چکیده
The separating space of a derivation onA is a separating ideal [2, Chapter 5]; it also satisfies the same property for the left products. The following assertions are of the most famous conjectures about derivations on Banach algebras: (C1) every derivation on a Banach algebra has a nilpotent separating ideal; (C2) every derivation on a semiprime Banach algebra is continuous; (C3) every derivation on a prime Banach algebra is continuous; (C4) every derivation on a Banach algebra leaves each primitive ideal invariant.
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