Frames and Operators on Quaternionic Hilbert spaces

2024/11/06 by Khachiaa, Najib
#42A38 #42C15 #42C40 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2411.03790

Abstract

The aim of this work is to study frame theory in quaternionic Hilbert spaces. We provide a characterization of frames in these spaces through the associated operators. Additionally, we examine frames of the form \Lu_i\_{i ∈ I}, where L is a right ℍ-linear bounded operator and \u_i\_{i ∈ I} is a frame.

Related

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