David de Hevia

collaborators

4 papers

math.FA2025

On the existence of large subspaces of $C (K)$ that perform stable phase retrieval

Enrique García-Sánchez, David de Hevia, Mitchell Taylor

The purpose of this article is to address an open problem posed by Freeman-Oikhberg-Pineau-T.~(\textit{Math.~Ann.}~2024) regarding the existence of large subspaces of $C (K)$ that p…

math.FA2025

Isometric embeddings into $C (K)$ -spaces doing stable phase retrieval

Enrique García-Sánchez, David de Hevia

Motivated by a question posed by Freeman, Oikhberg, Pineau and Taylor, we prove that if $K$ is a compact Hausdorff space with $K^{(α)} \neq = \emptyset$ , where $2 < α < ω$ , then $C[1,ω^α…

math.FA2025

A characterization of complex stable phase retrieval in Banach lattices

Manuel Camúñez, Enrique García-Sánchez, David de Hevia

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 retri…

math.FA2025

Norm-attaining lattice homomorphisms and renormings of Banach lattices

Eugene Bilokopytov, Enrique García-Sánchez, David de Hevia +2

A well-known theorem due to R. C. James states that a Banach space is reflexive if and only if every bounded linear functional attains its norm. In this note we study Banach lattic…

On the existence of large subspaces of C(K) that perform stable phase retrieval

Isometric embeddings into C(K)-spaces doing stable phase retrieval

A characterization of complex stable phase retrieval in Banach lattices

Norm-attaining lattice homomorphisms and renormings of Banach lattices

On the existence of large subspaces of $C (K)$ that perform stable phase retrieval

Isometric embeddings into $C (K)$ -spaces doing stable phase retrieval