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March 14, 2026Proceedings of the American Mathematical Society0 citations

A characterization of complex stable phase retrieval in Banach lattices

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MCManuel CamúñezEGEnrique García-SánchezDHDavid de Hevia

Key Points

  • To characterize the subspaces of complex Banach lattices that allow for stable phase retrieval.
  • Analyzed subspaces of complex Banach lattices.
  • Derived results based on the principles established for real stable phase retrieval.
  • Identified specific conditions under which stable phase retrieval is achievable in complex settings.
  • Extended previous findings in real phase retrieval to a complex framework.

Abstract

This note provides a characterization of the subspaces of a complex Banach lattice which do stable phase retrieval, in the spirit of the characterization of real stable phase retrieval established by D. Freeman, T. Oikhberg, B. Pineau, and M. A. Taylor Math. Ann. 390 (2024), pp. 1–43.

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Cite This Study

Camúñez et al. (2026) studied this question.

synapsesocial.com/papers/69b4fb9db39f7826a300bee1https://doi.org/10.1090/proc/17566
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