2017/09/02 by Dongwei Li, Jinsong Leng · 3 citations
Mathematics · Medicine · #Hilbert space #Mathematical Analysis and Transform Methods #Mathematics #Medical Imaging Techniques and Applications #Pure mathematics #math.FA
paper · pdf · doi:10.1215/20088752-2019-0012
published in Annals of Functional Analysis 10(4), 537-552 (Birkhäuser)
arxiv created 2017/09/02 · openalex created_date 2017/09/15 · openalex publication_date 2019/10/30 · arxiv updated 2019/12/19 · openalex updated_date 2026/08/05
Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled g-frames. We obtain some new properties of controlled g-frames and obtain new controlled g-frames by considering controlled g-frames for its components. And we obtain some new resolutions of the identity. Furthermore, we study the stabilities of controlled g-frames under small perturbations.