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 (xn)n as a limit of approximat...

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Veröffentlicht in:Filomat 2019, Vol.33 (12), p.3869-3875
1. Verfasser: Arambasic, Ljiljana
Format: Artikel
Sprache:eng
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Zusammenfassung: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 (xn)n as a limit of approximately dual frames defined by (xn)n. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1912869A