Circumcenters in real normed spaces

M. S. Tomás

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 2, page 421-430
  • ISSN: 0392-4041

Abstract

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The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.

How to cite

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Tomás, M. S.. "Circumcenters in real normed spaces." Bollettino dell'Unione Matematica Italiana 8-B.2 (2005): 421-430. <http://eudml.org/doc/195123>.

@article{Tomás2005,
abstract = {The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.},
author = {Tomás, M. S.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {421-430},
publisher = {Unione Matematica Italiana},
title = {Circumcenters in real normed spaces},
url = {http://eudml.org/doc/195123},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Tomás, M. S.
TI - Circumcenters in real normed spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/6//
PB - Unione Matematica Italiana
VL - 8-B
IS - 2
SP - 421
EP - 430
AB - The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.
LA - eng
UR - http://eudml.org/doc/195123
ER -

References

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  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. Zbl0909.46020MR1421858
  2. ALSINA, C. - TOMÁS, M.S., Orthocenters in real normed spaces and the Euler line, Aeq. Math., 67, n. 1-2 (2004), 180-187. Zbl1061.46016MR2049616
  3. AMIR, D., Characterizations of inner product spaces, Basel-Boston-Stuttgart (1986). Zbl0617.46030MR941812
  4. COXETER, H.S.M., Introduction to Geometry, John Wiley and sons (1969). Zbl0181.48101MR346644
  5. GUIJARRO, P. - TOMÁS, M.S., Perpendicular bisectors and orthogonality, Arch. Math.(Basel), 69 (1997), 491-496. Zbl0917.46015MR1480516
  6. PRECUPANU, T., Characterizations of Hilbertian Norms, Bolletino U.M.I., 15 (1978), 161-169. Zbl0381.46007MR498687
  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. Zbl1061.46017MR2049605

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