Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules

Raeburn, Iain; Thompson, Shaun

doi:10.1090/S0002-9939-02-06787-4

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.

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