JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 99-104.doi: 10.6040/j.issn.1671-9352.0.2017.505

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Some properties of measure frames

LI Chun-fang, MENG Bin   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Jiangsu Province, Nanjing 210016, Jiangsu, China
  • Online:2018-12-20 Published:2018-12-18

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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.

Key words: measure frames, operator, shift, pseudo-dual

CLC Number: 

  • O177.1
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