2019/09/13 by Sharma, S. K., Virender, Kaushik, S. K.
#42C15 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1909.06364
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.