Opuscula Mathematica

Opuscula Math.
, no. 1
 (), 5-17
Opuscula Mathematica

Exponential type vectors in Wiener algebras on a Banach ball

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.
Mathematics Subject Classification: 46E50, 46G25.
Cite this article as:
Adam Bednarz, Exponential type vectors in Wiener algebras on a Banach ball, Opuscula Math. 28, no. 1 (2008), 5-17
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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