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《Journal of Nanjing University(Mathematical Biquarterly)》 2018-01
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WEIGHTED MEASURE FRAMES ON HILBERT SPACES

Zhang Chaohua;Li Pengtong;College of Science, Nanjing University of Aeronautics and Astronautics;  
As a generalization of discrete frames for Hilbert spaces, we introduce the notion of weighted measure frames on Hilbert spaces and give its judging criteria. The properties of Bessel weighted measure, Parseval weighted measure frames are also investigated by using operator theory. We introduce the definition of approximately-dual and pseudo-dual of Bessel weighted measure, and construct approximately dual frames via perturbation theory. Finally some results about the weighted measure frames in finite dimensional Hilbert spaces are obtained.
【Fund】: 国家自然科学基金(No.11671201)
【CateGory Index】: O177.1
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