Geodesic
On Convergence inn-Inner Product Spaces
Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 1 
Hendra Gunawan. On Convergence inn-Inner Product
                        Spaces. Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2002_25_1_a1/
@article{BMMS_2002_25_1_a1,
     author = {Hendra Gunawan},
     title = {On {Convergence} {inn-Inner} {Product
}                        {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2002},
     volume = {25},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2002_25_1_a1/}
}
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                        Spaces
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Voir la notice de l'article provenant de la source BMMS

We discuss the notions of strong convergence and weak convergence in n -inner product spaces and study the relation between them. In particular, we show that the strong convergence implies the weak convergence and disprove the converse through a counter-example, by invoking an analogue of Parseval's identity in n -inner product spaces.