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ON VECTOR-VALUED FUNCTION SPACES WITH HELLY'S PROPERTY

ON VECTOR-VALUED FUNCTION SPACES WITH HELLY'S PROPERTY
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摘要 If a vector valued function space with a Hausdorff locally convex topology has a property such that every closed strongly bounded subset is compact, then we name this property Helly's property. In this paper, we show a class of vector valued function spaces with Helly's property and consider convergence of vector measures and best approximations in function spaces in this class. If a vector valued function space with a Hausdorff locally convex topology has a property such that every closed strongly bounded subset is compact, then we name this property Helly's property. In this paper, we show a class of vector valued function spaces with Helly's property and consider convergence of vector measures and best approximations in function spaces in this class.
出处 《Analysis in Theory and Applications》 2001年第2期86-100,共15页 分析理论与应用(英文刊)
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