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Title: On order continuous norms
Authors: Chung, S.I.-K.
Leung, D. 
Keywords: Normed vector lattices
Order continuous norms
Issue Date: 2000
Citation: Chung, S.I.-K.,Leung, D. (2000). On order continuous norms. Proceedings of the American Mathematical Society 128 (7) : 1971-1974. ScholarBank@NUS Repository.
Abstract: It is shown that a normed vector lattice (E, ∥ · ∥) is order continuous if and only if, for every lattice norm ρ on E with ρ ≤ ∥ · ∥, the ∥ ∥ ∥-topology and ρ-topology coincide on every order interval of E. © 2000 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
ISSN: 00029939
Appears in Collections:Staff Publications

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