Frame of Operators in quaternionic Hilbert spaces

2020/03/01 by Sharma, S. K., Jarrah, A. M., Kaushik, S. K.
#42C15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2003.00546

Abstract

In this paper, we introduce and study frame of operators in quaternionic Hilbert spaces as a generalization of g frames which in turn generalized various notions like Pseduo frames, bounded quasi-projectors and frame of subspaces (fusion frames) in separable quaternionic Hilbert spaces.

Related

• Frames in Quaternionic Hilbert Spaces
• Frames and Operators on Quaternionic Hilbert spaces
• Duals of a frame in quaternionic Hilbert spaces
• On K-frames for Quaternionic Hilbert Spaces
• Results on Continuous K-frames for Quaternionic (Super) Hilbert Spaces