Some generalized notions of James' orthogonality and orthogonality in the Pythagorean sense are defined and studied in the case of generalized normed spaces derived from generalized inner products.
@article{urn:eudml:doc:38996, title = {Ortogonalidad en espacios normados generalizados.}, journal = {Stochastica}, volume = {12}, year = {1988}, pages = {141-148}, zbl = {0734.46017}, mrnumber = {MR1024755}, language = {es}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38996} }
Fernández, Rosa. Ortogonalidad en espacios normados generalizados.. Stochastica, Tome 12 (1988) pp. 141-148. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38996/