Frame operators of K-frames

Frame operators of K-frames

A close relation between frames on a separable Hilbert space H and positive invertible bounded operators is known. In this paper, it is shown that for a bounded operator K on H , there is a relationship between K -frames and quotient operators. Results on K -frames have been proved through operator-...

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Veröffentlicht in:SeMA journal 2016-06, Vol.73 (2), p.171-181
Hauptverfasser: Ramu, Geddavalasa, Johnson, P. Sam
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:A close relation between frames on a separable Hilbert space H and positive invertible bounded operators is known. In this paper, it is shown that for a bounded operator K on H , there is a relationship between K -frames and quotient operators. Results on K -frames have been proved through operator-theoretic results on quotient of bounded operators.
ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-016-0062-4