Exponential type vectors in Wiener algebras on a Banach ball

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 t...

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Main Author:	Adam Bednarz
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2008-01-01
Series:	Opuscula Mathematica
Subjects:	unitary one-parametric group Wiener type algebras
Online Access:	http://www.opuscula.agh.edu.pl/vol28/1/art/opuscula_math_2801.pdf

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spelling	doaj-b0cc54816b69422482603084cda391f32020-11-25T00:34:42ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742008-01-012815172801Exponential type vectors in Wiener algebras on a Banach ballAdam Bednarz0Cracow University of Technology, Institute of Mathematics, 24 Warszawska Str, Cracow, PolandWe 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.http://www.opuscula.agh.edu.pl/vol28/1/art/opuscula_math_2801.pdfunitary one-parametric groupWiener type algebras
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Adam Bednarz
spellingShingle	Adam Bednarz Exponential type vectors in Wiener algebras on a Banach ball Opuscula Mathematica unitary one-parametric group Wiener type algebras
author_facet	Adam Bednarz
author_sort	Adam Bednarz
title	Exponential type vectors in Wiener algebras on a Banach ball
title_short	Exponential type vectors in Wiener algebras on a Banach ball
title_full	Exponential type vectors in Wiener algebras on a Banach ball
title_fullStr	Exponential type vectors in Wiener algebras on a Banach ball
title_full_unstemmed	Exponential type vectors in Wiener algebras on a Banach ball
title_sort	exponential type vectors in wiener algebras on a banach ball
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2008-01-01
description	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.
topic	unitary one-parametric group Wiener type algebras
url	http://www.opuscula.agh.edu.pl/vol28/1/art/opuscula_math_2801.pdf
work_keys_str_mv	AT adambednarz exponentialtypevectorsinwieneralgebrasonabanachball
_version_	1725311992650006528

Exponential type vectors in Wiener algebras on a Banach ball

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