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- W959711554 abstract "Let A be a Banach algebra and let every module-valued derivation from A to any Banach A-bimodule be continuous. We show that if {dm} is a higher derivation from A to a Banach algebra B with continuous d0, then there exist a continuous left A-module homomorphism U : B(A1,B) → B and a sequence {Dm} of module-valued derivations from A intoB(A1,B) such that dm = U ◦Dm (m ≥ 1), and as a consequence {dm} is automatically continuous. We also obtain a partial result concerning innerness of higher derivations on W ∗-algebras." @default.
- W959711554 created "2016-06-24" @default.
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- W959711554 date "2014-10-12" @default.
- W959711554 modified "2023-09-26" @default.
- W959711554 title "A characterization of higher derivations on Banach algebras" @default.
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