Abstract
It is known that if E and F are Banach spaces neither of which contains a copy of ℓ1, and if either E′ or F′ has the Radon-Nikodým property, then the ε-tensor product E

F does not contain a copy of ℓ1. We show that the converse of this assertion fails by showing that JH

JH fails to contain ℓ1.
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References
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© 1991 Springer-Verlag
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Leung, D.H. (1991). Embedding ℓ1 into tensor products of Banach spaces. In: Odwell, E.E., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090220
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DOI: https://doi.org/10.1007/BFb0090220
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54206-3
Online ISBN: 978-3-540-47493-7
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