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https://scholarbank.nus.edu.sg/handle/10635/103739
| 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103739 | ISSN: | 00029939 |
| Appears in Collections: | Staff Publications |
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