Controlled g-frames and dual g-frames in Hilbert spaces

Autor: Hui-Min Liu, Yan-Ling Fu, Yu Tian
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-14 (2023)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-023-02972-8
Popis: Abstract As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled g-frames and dual g-frames in Hilbert spaces. We first present some equivalent characterizations of controlled g-frames. Then, we introduce the concepts of controlled dual g-frames and controlled dual g-frames operator, get some properties of them. Finally, we obtain some characterizations of the controlled dual g-frames for a given controlled g-frame by the method of operator theory.
Databáze: Directory of Open Access Journals
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