DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE

DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE

In this paper, we study some equivalence relations between continuous frames in a Hilbert space $\mathcal{H}$. In particular, we seek two necessary and sufficient conditions under which two continuous frames are near. Moreover, we investigate a distance between continuous frames in order to acquire...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2017, 54(1), , pp.215-225
Hauptverfasser: Amiri, Zahra, Kamyabi-Gol, Rajab Ali
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:In this paper, we study some equivalence relations between continuous frames in a Hilbert space $\mathcal{H}$. In particular, we seek two necessary and sufficient conditions under which two continuous frames are near. Moreover, we investigate a distance between continuous frames in order to acquire the closest and nearest tight continuous frame to a given continuous frame. Finally, we implement these results for shearlet and wavelet frames in two examples. KCI Citation Count: 2
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j150684