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- W1988366980 abstract "By a convex mode of convergence to infinity 〈 C k 〉, we mean a sequence of nonempty closed convex subsets of a normed linear space X such that for each k , C k+1 ⊆ int C k and and a sequence 〈 xn 〉 is X is declared convergent to infinity with respect to 〈 C k 〉 provided each C k contains x n eventually. Positive convergence to infinity with respect to a pointed cone with nonempty interior as well as convergence to infinity in a fixed direction fit within this framework. In this paper we study the representation of convex modes of convergence to infinity by quasi-concave functions and associated remetrizations of the space." @default.
- W1988366980 created "2016-06-24" @default.
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- W1988366980 date "1999-08-01" @default.
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- W1988366980 title "Quasi-concave functions and convex convergence to infinity" @default.
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- W1988366980 doi "https://doi.org/10.1017/s0004972700033359" @default.
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