On Order Continuous Norms
نویسنده
چکیده
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.
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تاریخ انتشار 2000