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

Authors

Iain Raeburn, University of WollongongFollow
Shaun J. Thompson, University of Newcastle

RIS ID

18808

Publication Details

Raeburn, I. & Thompson, S. J. (2003). Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules. Proceedings of the American Mathematical Society, 131 (5), 1557-1564.

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.