Authors: Qingying Bu Gerard Buskes
Publish Date: 2006/04/26
Volume: 10, Issue: 2, Pages: 365-390
Abstract
Let 1 ≤ p ∞ We show that Open image in new window the Fremlin projective tensor product of ℓ p with a Banach lattice X has the Radon–Nikodym property if and only if X has the Radon–Nikodym property and that Open image in new window the Wittstock injective tensor product of ℓ p with a Banach lattice X has the Radon–Nikodym property if and only if X has the Radon–Nikodym property and each positive operator from ℓ p to X is compact where 1/p +1/p= 1 and let ℓ p = c0 if p = 1
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