Riesz bases in quaternionic Hilbert spaces
Functional Analysis
2019-09-17 v1
Abstract
In this article, we introduce and study Riesz bases in a separable quaternionic Hilbert spaces. Some results on Riesz bases in a separable quaternionic Hilbert spaces are proved. It is also proved that a Riesz basis in a separable quaternionic Hilbert space a frame for the quaternionic Hilbert space. Riesz sequences are defined and equivalence of a Riesz basis and a complete Riesz sequence in a separable quaternionic Hilbert space is proved.
Cite
@article{arxiv.1909.06364,
title = {Riesz bases in quaternionic Hilbert spaces},
author = {S. K. Sharma and Virender and S. K. Kaushik},
journal= {arXiv preprint arXiv:1909.06364},
year = {2019}
}
Comments
10 Pages. arXiv admin note: substantial text overlap with arXiv:1803.05773, arXiv:1705.04926