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Functional analytic aspects of frames in Banach spaces and Gabor injectivity
报告人:刘锐,南开大学 时间:2023年12月30日15:00 字号:

报告方式:腾讯会议:908941946

邀请人:黄益副教授

题目:摘要:In 1999-2000, Casazza, Han, and Larson introduced frame to approximation property in Banach space theory (ref. 2020 MSC 46B15). In 2008, Benedetto et al. introduced frame force to the quantum detection in quantum information theory. Since 2014, we have developed dilation theory for frames and operator-valued measures on Banach spaces. Based on the connections between frames and OVMs, Casazza et al. in 2019 used discrete frames to give the solution to the quantum detection problem. Recently, we have considered the continuous frame (coherent state) version of the quantum injectivity problem, closely related to phase retrieval problem! Meanwhile, we investigated the quantum injectivity problem for multi-window Gabor frames.



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