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Exponential type vectors in Wiener algebras on a Banach ball

Bednarz A.

Opuscula Mathematica

2008

Vol. 28, no. 1

5-17

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.