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On approximately dual frames for Hilbert C*-modules

Ljiljana Arambašić

Sažetak

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.

Ključne riječi

C*-algebraHilbert C*-moduleframeouter framedual frameapproximately dual frame