Characterizations of inner product spaces through an isosceles trapezoid property
Alsina, Claudi ; Cruells, P. ; Tomás, M. S.
Archivum Mathematicum, Tome 035 (1999), p. 21-27 / Harvested from Czech Digital Mathematics Library

Generalizing a property of isosceles trapezoids in the real plane into real normed spaces, a couple of characterizations of inner product spaces (i.p.s) are obtained.

Publié le : 1999-01-01
Classification:  46C15
@article{107682,
     author = {Claudi Alsina and P. Cruells and M. S. Tom\'as},
     title = {Characterizations of inner product spaces through an isosceles trapezoid property},
     journal = {Archivum Mathematicum},
     volume = {035},
     year = {1999},
     pages = {21-27},
     zbl = {1050.46507},
     mrnumber = {1684520},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107682}
}
Alsina, Claudi; Cruells, P.; Tomás, M. S. Characterizations of inner product spaces through an isosceles trapezoid property. Archivum Mathematicum, Tome 035 (1999) pp. 21-27. http://gdmltest.u-ga.fr/item/107682/

Alsina C.; Guijarro P.; Tomás M. S. On heights in real normed spaces and characterizations of inner product structures, Jour. Int. Math. & Comp. Sci. Vol. 6, N. 2(1993), 151-159. (1993) | MR 1239743 | Zbl 0816.46017

Alsina C.; Guijarro P.; Tomás M. S. A characterization of inner product spaces based on a property of height’s transform, Archiv der Mathematik Vol. 61(1993), 560-566. (1993) | MR 1254068

Alsina C.; Cruells P.; Tomás M. S. Isosceles Trapezoids, Norms and Inner Products, Archiv der Mathematik (1999) (1999) | MR 1671283 | Zbl 0928.46010

Amir D. Characterizations of inner product spaces, Birkhäuser Verlag (1986). (1986) | MR 0897527 | Zbl 0617.46030

Suzuki F. A Certain Property of an Isosceles Trapezoid and its Application to Chain Circle Problems, Mathematics Magazine Vol. 8, N. 2, pp 136-145 (1995). (1995) | MR 1333815 | Zbl 0877.51017