DOI: 10.7494/opmath.2008.28.1.5 ISSN: 1232-9274

Exponential type vectors in Wiener algebras on a Banach ball

Adam Bednarz
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We consider Wiener type algebras on an open Banach ball. In particular, we prove that such algebras consist of functions analytic in this ball. We also consider a property of one-parameter groups generated by an isometric group acting on a Banach ball. We establish that the subspace of exponential type vectors of its generators form a dense subalgebra in a Wiener algebra and a generator is a derivation on this subspace.

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