Frames in Quaternionic Hilbert Spaces
Functional Analysis
2017-05-16 v1
Abstract
In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces. Results on the existence of frames in quaternionic Hilbert spaces have been given. Also, a characterization of frame in quaternionic Hilbert spaces in terms of frame operator is given. Finally, a Paley-Wiener type perturbation result for frames in quaternionic Hilbert space has been obtained.
Cite
@article{arxiv.1705.04926,
title = {Frames in Quaternionic Hilbert Spaces},
author = {S. K. Sharma and Shashank Goel},
journal= {arXiv preprint arXiv:1705.04926},
year = {2017}
}
Comments
15 Pages