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arXiv · 1705.04926

Frames in Quaternionic Hilbert Spaces

S. K. Sharma·Shashank Goel
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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.

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S. K. Sharma, Shashank Goel. 2017-05-14. Frames in Quaternionic Hilbert Spaces. https://arxiv.org/abs/1705.04926

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