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On strictly convex and strictly 2-convex 2-normed spaces IIDOI: 10.1155/s0161171292000565 Keywords: linear 2-normed space , strict convexity , strict 2-convexity , 2-semi-inner product , bounded linear 2-functional , duality mapping. Abstract: In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2-normed space. This enables us to obtain more new results along each of two types of characterizations. We shall also investigate a strictly 2-convex 2-normed space in terms of the above two different types.
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