Superreflexive tensor product spaces

2024/09/30 by Abraham Rueda Zoca, Zoca, Abraham Rueda · 1 citation
Decision Sciences · Mathematics · Medicine · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.2409.20220

openalex publication_date 2024/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this note is to prove that, given two superreflexive Banach spaces X and Y, then X\widehat⊗_πY is superreflexive if and only if either X or Y is finite-dimensional. In a similar way, we prove that X\widehat⊗_ε Y is superreflexive if and only if either X or Y is finite-dimensional.

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