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Characterizations of inner product spaces by geometrical properties of the heights in a triangle

✍ Scribed by P. Guijarro, M. S. Tomás

Book ID: 113013945
Publisher: Springer
Year: 1999
Tongue: English
Weight: 78 KB
Volume: 73
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s000130050021

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A number of writers have defined a concept of angle in a normed linear space or metric space by means of the law of cosines, and have studied the properties of these angles obtaining, in some cases, characterizations of real inner product spaces. (For a summary of earlier results see MARTIN and VAL