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

摘要

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: 10]