Title : ( Perturbation of the Wigner equation in inner product C*-modules )
Authors: Jacek Chmieliński , Dijana Ilišević , Mohammad Sal Moslehian , Ghadir Sadeghi ,
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Abstract
Let A be a C*-algebra and B be a von Neumann algebra that both act on a Hilbert space H. Let M and N be inner product modules over A and B, respectively. Under certain assumptions, we show that for each mapping f :M→N satisfying fx , fy−x, y x, y x, yM, where is a control function, there exists a solution I :M→N of the Wigner equation Ix , Iy=x, y x, y M such that fx−Ixx,x xM.
Keywords
, perturbation, Wigner equation, inner product C*-modules, stability of functional equations.
@article{paperid:1006977,
author = {Jacek Chmieliński and Dijana Ilišević and Sal Moslehian, Mohammad and Sadeghi, Ghadir},
title = {Perturbation of the Wigner equation in inner product C*-modules},
journal = {Journal of Mathematical Physics},
year = {2008},
number = {49},
month = {February},
issn = {0022-2488},
pages = {335191--335198},
numpages = {7},
keywords = {perturbation; Wigner equation; inner product C*-modules; stability of functional equations.},
}
%0 Journal Article
%T Perturbation of the Wigner equation in inner product C*-modules
%A Jacek Chmieliński
%A Dijana Ilišević
%A Sal Moslehian, Mohammad
%A Sadeghi, Ghadir
%J Journal of Mathematical Physics
%@ 0022-2488
%D 2008
