Dual and multiplier of $K$-fusion frames

Mitra Shamsabadi; Ali Akbar Arefijamaal; Ghadir Sadeghi

Dual and multiplier of $K$-fusion frames

Functional Analysis 2018-08-07 v1

Authors: Mitra Shamsabadi , Ali Akbar Arefijamaal , Ghadir Sadeghi

Abstract

In this paper, we introduce the concept of $K$ -fusion frames and propose the duality for such frames. The relation between the local frames of $K$ -fusion frames with their dual is studied. The elements from the range of a bounded linear operator $K$ can be reconstructed by $K$ -frames. Also, we establish $K$ -fusion frame multipliers and investigate reconstruction of the range of $K$ by them.

Keywords

K-fusion frames duality local frames bounded linear operator frame multipliers reconstruction

Cite

@article{arxiv.1808.01440,
  title  = {Dual and multiplier of $K$-fusion frames},
  author = {Mitra Shamsabadi and Ali Akbar Arefijamaal and Ghadir Sadeghi},
  journal= {arXiv preprint arXiv:1808.01440},
  year   = {2018}
}

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