K-g-frames and approximate K-g-duals in Hilbert spaces

2018/10/07 by Jahangir Cheshmavar, Cheshmavar, Jahangir, Maryam Rezaei Sarkhaei +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1810.03137

openalex publication_date 2018/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Approximate duality of frame pairs have been investigated by Christensen and Laugesen in (Sampl. Theory Signal Image Process., 9, 2011, 77-90), with the motivation to obtain an important applications in Gabor systems, wavelets and general frame theory. In this paper we obtain some of the known results in approximate duality of frames to K-g-frames. We also obtain new K-g-frames and approximate K-g-duals from a K-g-frame and an approximate K-g-dual. Finally, we give an equivalent condition under which the subsequence of a K-g-frame still to be a K-g-frame.

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