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http://hdl.handle.net/10662/15347
| Title: | Radial projections of bisectors in Minkowski spaces |
| Authors: | Martini, Horst Wu, Senlin |
| Keywords: | Ortogonalidad de Birkhoff;Bisectrices;Caracterizaciones de espacios de productos internos;Criterios numéricos;Ortogonalidad isósceles;Planos de Minkowski;Espacios de Minkowski;Espacios lineales;Proyección radial;Diagrama de Voronoi;Birkhoff orthogonality;Bisectors;Characterizations of inner product spaces,;Critical number;Isosceles orthogonality;Minkowski planes |
| Issue Date: | 2008 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | We study geometric properties of radial projections of bisectors infinite dimensional real Banach spaces (i.e., in Minkowski spaces), especially the relation between the geometric structure of radial projections and Birkhoff orthogonality. As an application of our results it is shown that for any Minkowski space there exists a number, which plays somehow the role that √2 plays in Euclidean space. This number is referred to as the critical number of any Minkowski space. Lower and upper bounds on the critical number are given, and the cases when these bounds are attained are characterized. Some new characterizations of inner product spaces are also derived. |
| URI: | http://hdl.handle.net/10662/15347 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 23, nº 1 (2008) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_23_1_7.pdf | 282,5 kB | Adobe PDF | View/Open |
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