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Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules
Author(s):
Iain
Raeburn;
Shaun
J.
Thompson
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1557-1564.
MSC (2000):
Primary 46L08
Posted:
October 1, 2002
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Abstract:
We consider a class of countably generated Hilbert modules in which the generators are multipliers of the module, and prove a version of the Kasparov Stabilisation Theorem for these modules. We then extend recent work of Frank and Larson on frames in Hilbert modules.
References:
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Additional Information:
Iain
Raeburn
Affiliation:
Department of Mathematics, University of Newcastle, New South Wales 2308, Australia
Email:
iain@frey.newcastle.edu.au
Shaun
J.
Thompson
Affiliation:
Department of Mathematics, University of Newcastle, New South Wales 2308, Australia
Email:
shaun@frey.newcastle.edu.au
DOI:
10.1090/S0002-9939-02-06787-4
PII:
S 0002-9939(02)06787-4
Received by editor(s):
February 16, 2001
Received by editor(s) in revised form:
January 3, 2002
Posted:
October 1, 2002
Additional Notes:
This research was supported by the Australian Research Council.
Communicated by:
David R. Larson
Copyright of article:
Copyright
2002,
American Mathematical Society
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