Opuscula Math. 28, no. 1 (2008), 5-17

Opuscula Mathematica

Exponential type vectors in Wiener algebras on a Banach ball

Adam Bednarz

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.

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  • Adam Bednarz
  • Cracow University of Technology, Institute of Mathematics, 24 Warszawska Str, Cracow, Poland
  • Received: 2006-06-30.
  • Revised: 2007-06-29.
  • Accepted: 2007-07-02.
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Adam Bednarz, Exponential type vectors in Wiener algebras on a Banach ball, Opuscula Math. 28, no. 1 (2008), 5-17

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