The lattice-isometric copies of ℓ ∞ ( Γ ) in quotients of Banach lattices

Marek Wójtowicz

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-4

Abstract:

Let E be a Banach lattice and let M be a norm-closed and Dedekind σ -complete ideal of E . If E contains a lattice-isometric copy of ℓ ∞ , then E / M contains such a copy as well, or M contains a lattice copy of ℓ ∞ . This is one of the consequences of more general results presented in this paper.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:987068

DOI: 10.1155/S0161171203210528

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