Geodesic
Generalized Schwarz inequalities for generalized semi-inner products on groupoids can be derived from an equality
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 1.

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By introducing an appropriate notion of generalized semi-inner products on groupoids, we shall prove a simple equality which can be used to easily derive some generalized forms of the famous Schwarz inequality. In case of groups, these generalized forms will turn out to be sufficient to prove the subadditivity of the induced generalized seminorms. Thus, some results on inner product spaces can be extended to inner product groups.
Publié le :
DOI : 10.30755/NSJOM.05512
Classification : 20L05, 46C50, 39B32, 39B62
Keywords: groupoids, generalized inner products, Schwarz inequalities, seminorms 
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     author = {Zolt\'an Boros and Arp\'ad Sz\'az},
     title = {Generalized {Schwarz} inequalities
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can be derived from an equality},
     journal = {Novi Sad Journal of Mathematics},
     pages = {177 - 188},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {2017},
     doi = {10.30755/NSJOM.05512},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05512/}
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Zoltán Boros; Arpád Száz. Generalized Schwarz inequalities
for generalized semi-inner products on groupoids
can be derived from an equality. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 1. doi : 10.30755/NSJOM.05512. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05512/

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