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- W2300262389 abstract "Let A be a C�-algebra acting on a Hilbert space H, � : A ! B(H) be a linear mapping and d : A ! B(H) be a �-derivation. Generalizing the celebrated theorem of Sakai, we prove that ifis a continuous �-mapping then d is automatically continuous. In addition, we show the converse is true in the sense that if d is a continuous �-�-derivation then there exists a continuous linear mapping � : A ! B(H) such that d is �-�-derivation. The continuity of the so-called �-(�,�)-derivations is also discussed." @default.
- W2300262389 created "2016-06-24" @default.
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- W2300262389 date "2006-02-12" @default.
- W2300262389 modified "2023-09-24" @default.
- W2300262389 title "Automatic continuity of σ-derivations on C*-algebras" @default.
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- W2300262389 hasPublicationYear "2006" @default.
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