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Non-reflexivity of the derivation space from Banach algebras of analytic functions |
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| Authors: | Ebrahim Samei |
| Affiliation: | EPFL-SB-IACS, Station 8, Ch-1015 Lausanne, Switzerland |
| Abstract: | Let  be an open connected subset of the plane, and let  be a Banach algebra of analytic functions on  . We show that the space of bounded derivations from  into  is not reflexive. We also obtain similar results when ![$ A=C^{(n)}[0,1]$](http://www.ams.org/proc/2007-135-07/S0002-9939-07-08655-8/gif-abstract0/img6.gif){kind=small} for  . |
| Keywords: | Local derivations reflexivity analytic functions differentiable functions |
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