On Constructions of K–g-Frames in Hilbert Spaces

On Constructions of K–g-Frames in Hilbert Spaces

One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. In this paper, we first give a result concerning perturbations of K – g -frames and then use it to construct K – g -frames in Hilbert spaces. We also characterize th...

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Veröffentlicht in:Mediterranean journal of mathematics 2021-10, Vol.18 (5), Article 210
Hauptverfasser: Javadi, F., Mehdipour, M. J.
Format: Artikel
Sprache:eng
Schlagworte:
Frames
Hilbert space
Mathematics
Mathematics and Statistics
Perturbation
Quotients
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Zusammenfassung:One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. In this paper, we first give a result concerning perturbations of K – g -frames and then use it to construct K – g -frames in Hilbert spaces. We also characterize the concept of K – g -frames by quotient maps.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01862-x