Frames in quaternionic Hilbert spaces

SK Sharma, S Goel - arXiv preprint arXiv:1705.04926, 2017 - arxiv.org
arXiv preprint arXiv:1705.04926, 2017arxiv.org
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.
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.
arxiv.org
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