engleski

On approximately dual frames for Hilbert C*-modules

In this paper we discuss approximately dual frames for a frame or an outer frame of a Hilbert C*-module. We show that every frame or an outer frame, up to a scalar multiple, is approximately dual to itself. This enables us to get a canonical dual frame of a given frame as a limit of approximately dual frames defined by the initial frame.

C*-algebra ; Hilbert C*-module ; frame ; outer frame ; dual frame ; approximately dual frame

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