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arXiv · 1909.06364

Riesz bases in quaternionic Hilbert spaces

S. K. Sharma·Virender·S. K. Kaushik
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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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S. K. Sharma, Virender, S. K. Kaushik. 2019-09-13. Riesz bases in quaternionic Hilbert spaces. https://arxiv.org/abs/1909.06364

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