Some equivalent characterizations of inner product spaces and their consequences
Dan Ştefan Marinescu, Mihai Monea, Mihai Opincariu, Marian Stroe · Filomat · 2015
In this paper, first we prove the equivalence of the Frechet and the Jordan-Neumann relations in normed spaces. Next, we will present some characterizations of the inner product spaces and we will show their equivalence. Finally, we will prove some consequences of our main results.