Some Properties of K-Frames in Quaternionic Hilbert Spaces
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In the present paper, we discuss some properties of K-frames in quaternionic Hilbert spaces such as the invertibility of the frame operator as well as the interchangeability of two Bessel sequences. Further, we propose several approaches to construct K-frames and we show that a T-frame can be constructed from a K-frame by the perturbation of a bounded linear operator T. Finally, we study the stability of K-frames under some perturbations.
KeywordsFrames K-frames Bessel sequence Quaternionic Hilbert spaces
Mathematics Subject Classification42C15
- 7.Charfi, S., Ellouz, H.: Frames for operators in quaternionic Hilbert spaces (Submitted) Google Scholar