Angle Bisectors in Normed Linear Spaces
β Scribed by Raymond W. Freese; Charles R. Diminnie; Edward Z. Andalafte
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 417 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0025-584X
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π SIMILAR VOLUMES
I n this paper, we give several new characterizations of 2-inner product spaces and strict convexity for linear 8-normed spaces in terms of orthogonalites and 2-semi-inner product spaces
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
## Abstract A triple (__x, y, z__) in a linear 2βnormed space (__X__, β.,.β) is called an __isosceles orthogonal triple__, denoted |(__x, y, z__), if |(.,.,.) is said to be __homogeneous__ if |(__x, y, z__) implies |(__ax, y, z__) for all real __a__ and it is __additive__ if |(__x~1~__, __y, z__)