K-bi-g-frames in Hilbert spaces
نویسندگان
1 Laboratory Analysis, Geometry and Applications, Department of Mathematics, University Ibn Tofail, Kenitra, Morocco.
2 Laboratory Analysis, Geometry and Applications, Higher School of Education and Training, University Ibn Tofail, Kenitra, Morocco.
doi
10.22044/jas.2024.14492.1834چکیده
The notion of K-frames generalizes ordinary frames in that the lower frame bound applies only to elements within the range of K. This paper will introduce the new concept of K-bi-g-frames for Hilbert spaces. Then, we examine some characterizations with the help of a biframe operator. Finally, we investigate several results about the stability of K-bi-g-frames produced using frame theory methods.