Topological structure of 2-normed space and some results in linear 2-normed spaces analogous to Baire's theorem and Banach Steinhaus theorem
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نویسنده
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riyas p. ,ravindran k.t.
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منبع
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journal of prime research in mathematics - 2014 - دوره : 10 - شماره : 1 - صفحه:92 -103
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چکیده
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In this paper we construct the topological structure of linear 2-normed space. this enable us to define the concept of open sets in linear 2-normed space and derive an analogue of baire's theorem and banach steinhaus theorem in linear 2-normed spaces.
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کلیدواژه
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2-banach space; Equi-bounded; Equi-continuity; Linear 2-normed space; Locally bounded set; Locally convex topological vector space
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آدرس
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department of mathematics,k m m govt. women's college, India, p g departmentof mathematics,payyannur college, India
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