Regular hexagons in normed spaces and a theorem of Walter Benz
β Scribed by Detlef Laugwitz
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 159 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
The concept of orthogonality in normed linear spaces has been studied extensively by BIRKHOFF [3], JAMES IS], [7], [8], and the present authors [l], 151, among others. The most natural notion of orthogonality arises in the case where there is an inner product (-, -) compatible with the norm 11. 11 o