5 papers
On the existence of large subspaces of that perform stable phase retrieval
Enrique GarcÃa-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 that p…
Isometric embeddings into -spaces doing stable phase retrieval
Enrique GarcÃa-Sánchez, David de Hevia
Motivated by a question posed by Freeman, Oikhberg, Pineau and Taylor, we prove that if is a compact Hausdorff space with , where , then $C[1,…
A characterization of complex stable phase retrieval in Banach lattices
Manuel Camúñez, Enrique GarcÃa-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…
A negative solution to the complemented subspace problem in Banach lattices
D. de Hevia, G. MartÃnez-Cervantes, A. Salguero-Alarcón +1
Building on a recent construction of G. Plebanek and the third named author, it is shown that a complemented subspace of a Banach lattice need not be linearly isomorphic to a Banac…
Norm-attaining lattice homomorphisms and renormings of Banach lattices
Eugene Bilokopytov, Enrique GarcÃa-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…