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|Title:||On order continuous norms|
|Keywords:||Normed vector lattices|
Order continuous norms
|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|
|Appears in Collections:||Staff Publications|
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