English

Generalized fusion frame in Quaternionic Hilbert spaces

Functional Analysis 2024-04-08 v1

Abstract

We introduce the notion of a generalized fusion frame in quaternionic Hilbert space. A characterization of generalized fusion frame in quaternionic Hilbert space with the help of frame operator is being discussed. Finally, we construct g-fusion frame in quaternionic Hilbert space using invertible bounded right Q-linear operator on quaternionic Hilbert space.

Keywords

Cite

@article{arxiv.2211.07329,
  title  = {Generalized fusion frame in Quaternionic Hilbert spaces},
  author = {Prasenjit Ghosh},
  journal= {arXiv preprint arXiv:2211.07329},
  year   = {2024}
}

Comments

13 pages

R2 v1 2026-06-28T05:48:04.334Z