Local derivations of reflexive algebras II

Wu, Jing

doi:10.1090/S0002-9939-01-05792-6

Local derivations of reflexive algebras II
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Proc. Amer. Math. Soc. 129 (2001), 1733-1737 Request permission

Abstract:

Let ${\mathcal A}$ be a reflexive algebra in Banach space $X$ such that both $0_+\not = 0$ and $X_-\not = X$ in Lat$\mathcal A$. Then every local derivation of $\mathcal A$ into itself is a derivation.

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