International Journal of Analysis and Applications | 2026
Authors: Tatouti S.; Bounader N.
DOI: 10.28924/2291-8639-24-2026-101
Journal: International Journal of Analysis and Applications
Year: 2026
Publisher: Etamaths Publishing
Document Type: Article
Open Access: All Open Access; Gold Open Access
Cited by: 0
The aim of this article, we introduce a 2-K-frames in the 2-Hilbert space H, where K is a θ-bounded linear operator on H for a fixed element θ in H, and explore some properties of them. Also, we will characterize the 2-K-frames by the 2 pre-K-frame operators, the 2-K-frame operators, likewise to what is seen in the case of Hilbert spaces. In the rest of the article, we will set a definition of θ-atomic systems for K, and give some results concerning this notion. Finally we will find out a representation of each element in a closed range R(K). © 2026 the author(s).
2-Hilbert space; 2-K-frame; 2-K-frame operator