English

Continuous bi-g-frames for operators in Hilbert spaces

Functional Analysis 2024-04-16 v1

Abstract

In this paper, we will introduce the new concepts of continuous bi-g-frames and continuous K-bi-g-frame for Hilbert spaces. Then, we examine some characterizations properties with the help of a biframe operator. Finally, we investigate several results about the stability of continuous bi-g-Bessel sequence and K-bi-g-frame are produced via the use of frame theory methods.

Keywords

Cite

@article{arxiv.2404.09743,
  title  = {Continuous bi-g-frames for operators in Hilbert spaces},
  author = {Abdelilah Karara and Mohamed Rossafi},
  journal= {arXiv preprint arXiv:2404.09743},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2403.05560

R2 v1 2026-06-28T15:54:32.492Z