On the Normed Linear Space of Hausdorff Continuous Functions
نویسندگان
چکیده
In the present work we show that the linear operations in the space of Hausdorff continuous functions are generated by an extension property of these functions. We show that the supremum norm can be defined for Hausdorff continuous functions in a similar manner as for real functions, and that the space of all bounded Hausdorff continuous functions on an open set is a normed linear space. Some issues related to approximations in the space of Hausdorff continuous functions by subspaces are also discussed.
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