@Article{Bednarz2008,
author = "Bednarz, Adam",
title = "Exponential type vectors in Wiener algebras on a Banach ball",
journal = "Opuscula Math.",
year = "2008",
volume = "28",
number = "1",
pages = "5--17",
doi = "http://dx.doi.org/10.7494/OpMath.2008.28.1.5",
url = "http://dx.doi.org/10.7494/OpMath.2008.28.1.5",
abstract = "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.",
keywords = "unitary one-parametric group, Wiener type algebras",
issn = "1232-9274"
}