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- 2018
测度框架的若干性质
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Abstract:
摘要： 测度框架是Hilbert空间上经典框架的推广, 但同时也有着本质的区别。 本文主要从框架算子理论的角度来研究测度框架的等式与不等式性,同时讨论了测度框架的提升、近似对偶及伪对偶。
Abstract: Measure frames is a generalization of vector frames in Hilbert spaces, but there are essential differences between them. Some inequalities and equalities are obtained for measure frames from the perspective of frame operator theory. At the same time, we also discuss the shift of a measure frame to a tight measure frame and the approximately dual frames and pseudo-dual frames
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