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.
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
Hong, Guoqing
Li, Pengtong
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机构:
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China