GRADUAL NORMED LINEAR SPACE
نویسندگان
چکیده مقاله:
In this paper, the gradual real numbers are considered and the notion of the gradual normed linear space is given. Also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a locally convex space, in classical sense. So the results in locally convex spaces can be translated in gradual normed linear spaces. Finally, we give an example of a gradual normed linear space which is not normable in classical analysis.
منابع مشابه
gradual normed linear space
in this paper, the gradual real numbers are considered and the notion of the gradual normed linear space is given. also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a locally convex space, in classical sense. so the results in locally convex spaces can be translated in gradual normed linear spaces. finally, we give an examp...
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عنوان ژورنال
دوره 8 شماره 5
صفحات 131- 139
تاریخ انتشار 2011-10-06
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