Bulletin of the Iranian Mathematical Society, Year (2005-12)

Title : Dynamical systems on Hilbert C*-modules ( Dynamical systems on Hilbert C*-modules )

Authors: Gholamreza Abbaspour , Mohammad Sal Moslehian , Asadollah Niknam ,

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Abstract

We investigate the generalized derivations and show that every generalized derivation on a simple Hilbert C ∗ -module is either closable or has a dense range. We also describe dynamical systems on a full Hilbert C ∗ -module M over a C ∗ -algebra A as a one-parameter group of unitaries on M and prove that if α : R → U (M) is a dynamical system, where U (M) denotes the set of all unitary operator on M, then we can correspond a C ∗ -dynamical system α 0 on A such that if δ and d are the infinitesimal generators of α and α 0 respectively, then δ is a d-derivation.

Keywords

, Dynamical systems on Hilbert C*, modules
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@article{paperid:458,
author = {Gholamreza Abbaspour and Sal Moslehian, Mohammad and Niknam, Asadollah},
title = {Dynamical systems on Hilbert C*-modules},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2005},
month = {December},
issn = {1735-8515},
keywords = {Dynamical systems on Hilbert C*-modules},
}

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%0 Journal Article
%T Dynamical systems on Hilbert C*-modules
%A Gholamreza Abbaspour
%A Sal Moslehian, Mohammad
%A Niknam, Asadollah
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2005

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