# Riesz bases in quaternionic Hilbert spaces

Source: [Riesz bases in quaternionic Hilbert spaces](<https://www.sota2.com/research/paper/68fa563d1e209131ce99b056>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:02:50.787Z

Authors: S.K. Sharma, Virender, S.K. Kaushik

Published: 2019-09-13T07:37:48.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1909.06364>)

[PDF](<https://arxiv.org/pdf/1909.06364.pdf>)