On The Ordered Sets In n-Dimensional Real inner Product Spaces
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Date
2000Author
Oguzhan, Demirel
Emine, Soyturk
Type
ArticleLanguage
enMetadata
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Let X be a real inner product space of dimension ¸ 2. In [2],
W. Benz proved the following theorem for x; y 2 X with x < y: "The
Lorentz-Minkowski distance between x and y is zero (i.e., l (x; y) = 0)
if and only if [x; y] is ordered". In this paper, we obtain necessary and
su±cient conditions for Lorentz-Minkowski distances l(x; y) > 0; l (x; y) <
0 with the help of ordered sets in n-dimensional real inner product spaces.
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http://www.mathem.pub.ro/apps/v10/A10-DM.pdfhttp://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/33218
Citation
Oguzhan Demirel and Emine Soyturk On the ordered sets in n-dimensional real inner product spaces Pp. 66-72, 2000 AMS Classification: 14P99, 46B20, 51F99, 51K99. PDFPublisher
University of Nairobi Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Turkey.