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DISTANCE BETWEEN CONTINUOUS FRAMES IN HILBERT SPACE

  • Amiri, Zahra ;
  • Kamyabi-Gol, Rajab Ali
  • Received : 2015.11.14
  • Published : 2017.01.01

Abstract

In this paper, we study some equivalence relations between continuous frames in a Hilbert space ${\mathcal{H}}$. In particular, we seek two necessary and sufficient conditions under which two continuous frames are near. Moreover, we investigate a distance between continuous frames in order to acquire the closest and nearest tight continuous frame to a given continuous frame. Finally, we implement these results for shearlet and wavelet frames in two examples.

Keywords

closeness bound;distance between frames;nearness

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Acknowledgement

Supported by : University of Mashhad-Graduate Studies