Superreflexive tensor product spaces Rueda Zoca, Abraham The aim of this note is to prove that, given two superreflexive Banach spaces X and Y , then X⊗πY is superreflexive if and only if either X or Y is finite-dimensional. In a similar way, we prove that X⊗εY is superreflexive if and only if either X or Y is finite-dimensional. 2025-02-10T06:57:13Z 2025-02-10T06:57:13Z 2024-02-08 journal article Ann. Funct. Anal. (2025) 16:18 https://hdl.handle.net/10481/102096 https://doi.org/10.1007/s43034-025-00408-6 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License