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/