English

Construction of continuous controlled K-g-fusion frames in Hilbert spaces

Functional Analysis 2024-10-16 v1

Abstract

We present the notion of continuous controlled K-g-fusion frame in Hilbert space which is the generalization of discrete controlled K-g-fusion frame. We discuss some characterizations of continuous controlled K-g-fusion frame. Relationship between continuous controlled K-g-fusion frame and quotient operator is being studied. Finally, stability of continuous controlled g-fusion frame has been described.

Keywords

Cite

@article{arxiv.2307.11753,
  title  = {Construction of continuous controlled K-g-fusion frames in Hilbert spaces},
  author = {Prasenjit Ghosh and T. K. Samanta},
  journal= {arXiv preprint arXiv:2307.11753},
  year   = {2024}
}

Comments

19 pages. arXiv admin note: substantial text overlap with arXiv:2110.11234, arXiv:2108.01467, arXiv:2111.03389