Some Equivalent Characterizations of Inner Product Spaces and their Consequences

Marinescu Dan Ștefan, Monea Mihai, Opincariu Mihai, Stroe Marian


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.

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