Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673004 | Indagationes Mathematicae | 2012 | 15 Pages |
Abstract
For Banach lattices XX and YY, let X⊗ˆ|π|Y and X⊗̌|ε|Y denote the positive projective and injective tensor products of XX and YY, respectively. In this paper, we characterize the inheritance of reflexivity and containment of copies of c0,ℓ1,ℓ∞c0,ℓ1,ℓ∞ by X⊗ˆ|π|Y and X⊗̌|ε|Y from XX and YY, when one of them is an atomic Banach lattice. In this case, we also give an affirmative answer to an open question of Jeurnink.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Qingying Bu, Ngai-Ching Wong,