A characterization of complex stable phase retrieval in Banach lattices

Manuel Camúñez; Enrique García-Sánchez; David de Hevia

doi:10.1090/proc/17566

March 11, 2026Proceedings of the American Mathematical Society

A characterization of complex stable phase retrieval in Banach lattices

View at Publisher

Ask AI

Bookmark

Share

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.

Ask about this paper

Answers are grounded in this paper and cite their sources.

Implication

This note characterizes stable phase retrieval in complex Banach lattices, suggesting new insights into functional analysis.

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].

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Camúñez et al. (2026) studied this question.

synapsesocial.com/papers/69b4fb9db39f7826a300bee1 https://doi.org/10.1090/proc/17566

View at Publisher

Ask AI

Bookmark

Share

A characterization of complex stable phase retrieval in Banach lattices

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

A characterization of complex stable phase retrieval in Banach lattices

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading