Circumcenters in real normed spaces
Tomás, M. S.
Bollettino dell'Unione Matematica Italiana, Tome 8-A (2005), p. 421-430 / Harvested from Biblioteca Digitale Italiana di Matematica
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The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.

Lo studio dei circocentri in tipi diferenti di triangoli appartenenti a spazi normati reali ci dà nuove caratterizzazioni degli spazi con prodotto scalare.

Publié le : 2005-06-01
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     author = {M. S. Tom\'as},
     title = {Circumcenters in real normed spaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {8-A},
     year = {2005},
     pages = {421-430},
     zbl = {1150.46010},
     mrnumber = {2149393},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2005_8_8B_2_421_0}
}

Tomás, M. S. Circumcenters in real normed spaces. Bollettino dell'Unione Matematica Italiana, Tome 8-A (2005) pp. 421-430. http://gdmltest.u-ga.fr/item/BUMI_2005_8_8B_2_421_0/

[1] Alsina, C. - Guijarro, P. - Tomás, M.S., Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference, Arch. Math. (BRNO), 32 (1996), 233-239. | MR 1421858 | Zbl 0909.46020

[2] Alsina, C. - Tomás, M.S., Orthocenters in real normed spaces and the Euler line, Aeq. Math., 67, n. 1-2 (2004), 180-187. | MR 2049616 | Zbl 1061.46016

[3] Amir, D., Characterizations of inner product spaces, Basel-Boston-Stuttgart (1986). | MR 941812 | Zbl 0617.46030

[4] Coxeter, H.S.M., Introduction to Geometry, John Wiley and sons (1969). | MR 346644 | Zbl 0181.48101

[5] Guijarro, P. - Tomás, M.S., Perpendicular bisectors and orthogonality, Arch. Math.(Basel), 69 (1997), 491-496. | MR 1480516 | Zbl 0917.46015

[6] Precupanu, T., Characterizations of Hilbertian Norms, Bolletino U.M.I., 15 (1978), 161-169. | MR 498687 | Zbl 0381.46007

[7] Puig Adam, P., Curso de Geometría Métrica, Tomo I, Madrid, Euler (1986).

[8] Tomás, M.S., Incenters in real normed spaces, Aeq. Math., 67, n. 1-2 (2004), 63-72. | MR 2049605 | Zbl 1061.46017