Exponential type vectors in Wiener algebras on a Banach ball

• Autorzy: Bednarz A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

unitary one-parametric group; Wiener type algebras

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 1
• Strony: 5--17
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Bednarz A.

• Cracow University of Technology, Institute of Mathematics, 24 Warszawska Str, Cracow, Poland,

Bibliografia

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