On injective tensor powers of ℓ1

نویسندگان

چکیده

In this paper we prove that the 3-fold injective tensor product ℓ1⊗ˆεℓ1⊗ˆεℓ1 is not isomorphic to any subspace of ℓ1⊗ˆεℓ1. This result provides a new solution problem Diestel on projective products c0. Moreover, implies for infinite countable compact metric space K, C(K)⊗ˆπC(K)⊗ˆπC(K) quotient C(K)⊗ˆπC(K).

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2021

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2020.124581