| Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces |
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| 作者姓名： | 郑永爱 |
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| 作者单位： | Institute of technology，Yangzhou University，Yangzhou，225006 |
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| 摘 要： | §１． Ｄｅｆｉｎｉｔｉｏｎｓ，ＬｅｍｍａｓａｎｄＴｈｅｏｒｅｍＤｅｆｉｎｉｔｉｏｎ１［１］ Ｌｅｔ（Ｘ，ｙ·ｙ）ｂｅａｒｅａｌｎｏｒｍｅｄｌｉｎｅａｒｓｐａｃｅｏｆｄｅｍｅｎｓｉｏｎｇｒｅａｔｅｒｔｈａｎ１，ｗｅｄｅｆｉｎｅａｎｇｌｅｓＡｍ，ｎ（ｘ，ｙ）ｂｅｔｗｅｅｎｎｏｎｚｅｒｏｖｅｃｔｏｒｓｘａｎｄｙｉｎＸｂｙＡｍ，ｎ（ｘ，ｙ）＝ｃｏｓ－１ｎｙｘｙｘｙ＋ｙｙｙｙｙ２－ｍｙｘｙｘｙ－ｙｙｙｙｙ２＋２（ｍ－ｎ）２（ｍ＋ｎ），ｈｅｒｅｍａｎｄｎａｒｅｔｗｏｎｏｎ－ｎｅｇｅｎｔｉｖｅｉｎｔｅ－ｇｅ…
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Angles of Normed Linear Spaces and Characterizations of Inner Product Spaces |
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| Zheng Yongai.Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces[J].Chinese Quarterly Journal of Mathematics,1998(1). |
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| Authors: | Zheng Yongai |
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| Abstract: | In 1],a family of angles are defined in normed linear spaces. In this paper,it is shown that if anyone of the angles satisfies certain euclidean triangle congruence properties,the space must be an inner product space. |
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| Keywords: | angle normed linear space inner product space orthogonality |
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