Glasnik matematički, Vol. 41 No. 2, 2006.
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
Publication date:
9.12.2006.
Visits: 1.116 *