Original scientific paper

Frames of submodules for countably generated Hilbert K(H)-modules

Ljiljana Arambašić

Abstract

In this paper we introduce frames of submodules for countably generated Hilbert K(H)-modules. We show the correspondence between frames of submodules for a Hilbert K(H)-module V and frames of subspaces for the Hilbert space Ve ⊂ V, where e ∈ K(H) is an arbitrary orthogonal one-dimensional projection. We also establish a relation between their frame operators.

Keywords

C*-algebra; Hilbert C*-module; compact operator; frame; frame operator; frame of subspaces; frame of submodules

Hrčak ID:

5857

URI

https://hrcak.srce.hr/5857

Publication date:

9.12.2006.

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