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This article is cited in 9 scientific papers (total in 9 papers)
Frames in quaternionic Hilbert spaces
Sumit Kumar Sharmaa, Shashank Goelb a Kirori Mal College, University of Delhi, Delhi-110007, India
b Amity Institute of Applied Sciences, Amity University, Noida, U.P-201301, India
Abstract:
In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces. The results on the existence of frames in quaternionic Hilbert spaces and a characterization of frames in quaternionic Hilbert spaces in terms of frame operator are given. Finally, a Paley–Wiener type perturbation result for the frames in a quaternionic Hilbert space has been obtained.
Key words and phrases:
frame, quaternionic Hilbert spaces.
Received: 04.01.2018 Revised: 03.03.2018
Citation:
Sumit Kumar Sharma, Shashank Goel, “Frames in quaternionic Hilbert spaces”, Zh. Mat. Fiz. Anal. Geom., 15:3 (2019), 395–411
Linking options:
https://www.mathnet.ru/eng/jmag735 https://www.mathnet.ru/eng/jmag/v15/i3/p395
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Abstract page: | 129 | Full-text PDF : | 110 | References: | 15 |
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