The invertibility of fusion frame multipliers

Abstract

In this paper, we present fusion frame multipliers and study their properties. In fact, by an efficient approach to dual fusion frames, we introduce the fusion frame multipliers as a generalization of (discrete) frame multipliers and extend the results of frame multipliers. However, many properties of fusion frame multipliers are not satisfied in this case.

Keywords:

• Fusion frame
• multiplier
• inverse multiplier
• canonical dual
• Riesz basis

AMS Subject Classifications:

• Primary: 41A58
• Secondary: 42C15

Acknowledgements

The authors would like to thank the anonymous referee for his/her comments that helped us improve this article.

Notes

No potential conflict of interest was reported by the authors.