Open AccessCharacterizations of inner product spaces by orthogonal vectors
Author(s) -
Marco Baronti,
Emanuele Casini
Publication year - 2006
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2006/521425
Subject(s) - algorithm , product (mathematics) , mathematics , computer science , geometry
Let X be a real normed space with unit closed ball B. We prove that X is an inner product space if and only if it is true that whenever x, y arepoints in ?B such that the line through x and y supports 22B then x?y inthe sense of Birkhoff
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