Title : ( A Characterization of Hilbert C-modules Over Finite Dimensional C*–ALGEBRAS )
Authors: Ljiljana Arambasic , Damir Bakic , Mohammad Sal Moslehian ,
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Abstract
We show that the unit ball of a full Hilbert C∗ -module is sequentially compact in a certain weak topology if and only if the underlying C∗ -algebra is finite dimensional. This provides an answer to the question posed in J. Chmieli´nski et al [Perturbation of the Wigner equation in inner product C∗ -modules, J. Math. Phys. 49 (2008), no. 3, 033519].
Keywords
, Hilbert C* -module, finite dimensional C* -algebra, C* -algebra of compact operators.
@article{paperid:1010741,
author = {Ljiljana Arambasic and Damir Bakic and Sal Moslehian, Mohammad},
title = {A Characterization of Hilbert C-modules Over Finite Dimensional C*–ALGEBRAS},
journal = {Operators and Matrices},
year = {2009},
volume = {3},
number = {2},
month = {May},
issn = {1846-3886},
pages = {235--240},
numpages = {5},
keywords = {Hilbert C* -module; finite dimensional C* -algebra; C* -algebra of compact operators.},
}
%0 Journal Article
%T A Characterization of Hilbert C-modules Over Finite Dimensional C*–ALGEBRAS
%A Ljiljana Arambasic
%A Damir Bakic
%A Sal Moslehian, Mohammad
%J Operators and Matrices
%@ 1846-3886
%D 2009
