4 citations · 8 across the 9 of their papers we have counts for
9 papers
Convexity and concavity in Banach lattices
Enrique García-Sánchez
These notes are a detailed, self-contained introductory course on convexity and concavity in Banach lattices, suitable for both experts and beginners. We revisit, from a modern per…
Banach lattices with upper -estimates: Renorming and factorization
Enrique García-Sánchez, Denny H. Leung, Mitchell A. Taylor +1
The notions of -convexity and concavity are fundamental tools for studying Banach lattices, as they partition the class of Banach lattices into a scale of spaces with -like…
On the existence of large subspaces of 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 that p…
Isometric embeddings into -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 is a compact Hausdorff space with , where , then $C[1,ω^α…
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…
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…
Banach lattices with upper -estimates: free and injective objects
E. García-Sánchez, D. H. Leung, M. A. Taylor +1
We study the free Banach lattice with upper -estimates generated by a Banach space . Using a classical result of Pisier on factorization through $L^{p,\…
Free objects in Banach space theory
Enrique García-Sánchez, David de Hevia, Pedro Tradacete
We survey recent progress on three relevant instances of free objects related to Banach spaces: Lipschitz free spaces generated by metric spaces, holomorphic free spaces generated…
Free dual spaces and free Banach lattices
Enrique García-Sánchez, Pedro Tradacete
The relation between the free Banach lattice generated by a Banach space and free dual spaces is clarified. In particular, it is shown that for every Banach space the free -…