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Automatic continuity
of derivations and epimorphisms
Volker Runde |
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Vol. 147 (1991), No. 2, 365–374
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Abstract |
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Two automatic continuity problems for derivations on commutative Banach algebras are discussed: (a) Every derivation on a commutative Banach algebra maps into the radical, and: (b) Derivations on semiprime Banach algebras are continuous. It is shown that (b) implies (a). Further, (b) is reduced to a smaller class of Banach algebras and proved in some special cases. Related results for epimorphisms are given. |
Mathematical Subject Classification 2000
Primary: 46H40
Secondary: 46J05, 46J45
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Milestones
Received: 1 May 1989
Published: 1 February 1991
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Authors |
| Volker Runde | |
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