Title : ( Closability of Module σ−Derivatoins )
Authors: M. Mosadeq , M. Hassani , Asadollah Niknam ,
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Abstract
Let σ- be a linear mapping from a dense subalgebra A of a Banach algebra B into B. In this note, we study the closability of a module σ− derivation σfrom A into a B− bimodule M. Applying the notions of torsion-free modules and essential ideals, we present several results concerning the closability of such derivations. Also we investigate the closability of module σ− derivations of the C*− algebra B into a Hilbert B− bimodule M.
Keywords
, Derivation, deficiency indices, relative boundedness, simple module, torsion-free module, essential ideal, Hilbert C*− module.
@article{paperid:1050375,
author = {M. Mosadeq and M. Hassani and Niknam, Asadollah},
title = {Closability of Module σ−Derivatoins},
journal = {Journal of Mathematical Extension},
year = {2012},
volume = {6},
number = {1},
month = {January},
issn = {1735-8299},
pages = {57--69},
numpages = {12},
keywords = {Derivation; deficiency indices; relative boundedness; simple module; torsion-free module; essential ideal;
Hilbert C*− module.},
}
%0 Journal Article
%T Closability of Module σ−Derivatoins
%A M. Mosadeq
%A M. Hassani
%A Niknam, Asadollah
%J Journal of Mathematical Extension
%@ 1735-8299
%D 2012
