Noncommutative Donoho-Elad-Gribonval-Nielsen-Fuchs Sparsity Theorem
<|reference_start|>Noncommutative Donoho-Elad-Gribonval-Nielsen-Fuchs Sparsity Theorem: Breakthrough Sparsity Theorem, derived independently by Donoho and Elad \textit{[Proc. Natl. Acad. Sci. USA, 2003]}, Gribonval and Nielsen \textit{[IEEE Trans. Inform. Theory, 2003]} and Fuchs \textit{[IEEE Trans. Inform. Theory, 2004]} says that unique sparse solution to NP-Hard $\ell_0$-minimization problem can be obtained using unique solution of P-Type $\ell_1$-minimization problem. In this paper, we derive noncommutative version of their result using frames for Hilbert C*-modules.<|reference_end|>
@article{krishna2024noncommutative,
    title={Noncommutative Donoho-Elad-Gribonval-Nielsen-Fuchs Sparsity Theorem},
    author={K. Mahesh Krishna},
    journal={arXiv preprint arXiv:2409.09060},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.09060},
    primaryClass={math.FA cs.IT math.IT math.OA math.OC math.ST stat.TH}
}