Non-reflexivity of the derivation space from Banach algebras of analytic functions

Samei, Ebrahim

doi:10.1090/S0002-9939-07-08655-8

Non-reflexivity of the derivation space from Banach algebras of analytic functions
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Proc. Amer. Math. Soc. 135 (2007), 2045-2049 Request permission

Abstract:

Let $\Omega$ be an open connected subset of the plane, and let $A$ be a Banach algebra of analytic functions on $\Omega$. We show that the space of bounded derivations from $A$ into $A^*$ is not reflexive. We also obtain similar results when $A=C^{(n)}[0,1]$ for $n\geq 2$.

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