The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert space. In Parts II and III a generalization is given of the Pythagorean theorem and triangular inequality for finite vector families.
@article{urn:eudml:doc:38846,
title = {Geometr\'\i a de gramianos en el espacio de Hilbert.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {5-24},
zbl = {0475.46019},
mrnumber = {MR0625838},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38846}
}
Burillo López, Pedro J.; Aguilella Almer, Joaquín. Geometría de gramianos en el espacio de Hilbert.. Stochastica, Tome 5 (1981) pp. 5-24. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38846/