By introducing an appropriate notion ofgeneralized semi-inner products on groupoids,we shall prove a simple equality which can beused to easily derive some generalized formsthe famous Schwarz inequality.In case of groups, these generalized forms will turnout to be sufficient to prove the subadditivityof the induced generalized seminorms. Thus, someresults on inner product spaces can beextended to inner product groups.
@article{5512,
title = {Generalized Schwarz inequalities for generalized semi-inner products on groupoids can be derived from an equality},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/5512}
}
Száz, Árpád; Boros, Zoltán. Generalized Schwarz inequalities for generalized semi-inner products on groupoids can be derived from an equality. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/5512/