Frames in Quaternionic Hilbert Spaces

Abstract

In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces. Results on the existence of frames in quaternionic Hilbert spaces have been given. Also, a characterization of frame in quaternionic Hilbert spaces in terms of frame operator is given. Finally, a Paley-Wiener type perturbation result for frames in quaternionic Hilbert space has been obtained.

15 Pages

Cited by in corpus (1)

• Perturbation of Continuous Frames on Quaternionic Hilbert Spaces