Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

数学季刊 ›› 1998, Vol. 13 ›› Issue (1): 70-73.

Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

Institute of technology，Yangzhou University，Yangzhou，225006

收稿日期:1996-06-24 出版日期:1998-03-30 发布日期:2024-11-07

Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

Institute of technology，Yangzhou University，Yangzhou，225006

Received:1996-06-24 Online:1998-03-30 Published:2024-11-07

摘要/Abstract

摘要： 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.

关键词: , angle；normed linear space；inner product space；orthogonality

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.

Key words: , angle；normed linear space；inner product space；orthogonality

中图分类号:

O177

郑永爱 . Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces[J]. 数学季刊, 1998, 13(1): 70-73.

Zheng Yongai. Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(1): 70-73.

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Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

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