Frameness bound for frame of subspaces

Frameness bound for frame of subspaces

In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.

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Veröffentlicht in:Sahand communications in mathematical analysis 2014-12, Vol.1 (1), p.1-8
Hauptverfasser: M. R. Abdollahpour, A. Shekari
Format: Artikel
Sprache:eng
Schlagworte:
Frame of subspaces
Frameness bound
Pseudo-inverse
Ultra Bessel sequence of subspaces
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Zusammenfassung:In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.
ISSN:2322-5807
2423-3900