TY  - JOUR
ID  - Bednarz2008
LB  - Bednarz2008
AU  - Bednarz, Adam
TI  - Exponential type vectors in Wiener algebras on a Banach ball
ST  - Exponential type vectors in Wiener algebras on a Banach ball
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 1
SP  - 5
EP  - 17
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.1.5
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.1.5
AB  - 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.
KW  - unitary one-parametric group
KW  - Wiener type algebras
SN  - 1232-9274
ER  -