English

Frames and Operators on Quaternionic Hilbert spaces

Functional Analysis 2024-11-07 v1

Abstract

The aim of this work is to study frame theory in quaternionic Hilbert spaces. We provide a characterization of frames in these spaces through the associated operators. Additionally, we examine frames of the form {Lui}iI\{Lu_i\}_{i \in I}, where LL is a right H\mathbb{H}-linear bounded operator and {ui}iI\{u_i\}_{i \in I} is a frame.

Keywords

Cite

@article{arxiv.2411.03790,
  title  = {Frames and Operators on Quaternionic Hilbert spaces},
  author = {Najib Khachiaa},
  journal= {arXiv preprint arXiv:2411.03790},
  year   = {2024}
}
R2 v1 2026-06-28T19:49:57.814Z