Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules
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- by Iain Raeburn and Shaun J. Thompson PDF
- Proc. Amer. Math. Soc. 131 (2003), 1557-1564 Request permission
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
- Received by editor(s): February 16, 2001
- Received by editor(s) in revised form: January 3, 2002
- Published electronically: October 1, 2002
- Additional Notes: This research was supported by the Australian Research Council.
- Communicated by: David R. Larson
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1557-1564
- MSC (2000): Primary 46L08
- DOI: https://doi.org/10.1090/S0002-9939-02-06787-4
- MathSciNet review: 1949886