S. K. Sharma, Virender, S. K. Kaushik
Published 2019-09-13Version 1
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.
Comments: 10 Pages. arXiv admin note: substantial text overlap with arXiv:1803.05773, arXiv:1705.04926
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