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

Ebrahim Samei
2007 Proceedings of the American Mathematical Society  
Let Ω be an open connected subset of the plane, and let A be a Banach algebra of analytic functions on Ω. 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 ≥ 2.
doi:10.1090/s0002-9939-07-08655-8 fatcat:a55ofnsrj5hl5ma4jdkhenhrte