English

Continuous K-G-Frame in Hilbert Spaces

Functional Analysis 2019-05-15 v2

Abstract

In this paper we intend to introduce the concept of c-K-g-frames, which are the generalization of K-g-frames. In addition, we prove some new results on c-K-g-frames on Hilbert spaces. Moreover, we define the related oprators of c-K-g frames. Then, we give necessary and sufficient conditions on c-K-frames to characterize them. Finally, we verify perturbation of c-K-g-frames.

Keywords

Cite

@article{arxiv.1712.03434,
  title  = {Continuous K-G-Frame in Hilbert Spaces},
  author = {E. Alizadeh and M. H. Faroughi and M. Rahmani},
  journal= {arXiv preprint arXiv:1712.03434},
  year   = {2019}
}
R2 v1 2026-06-22T23:13:15.981Z