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Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 . In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is generalized to normed space and given a relationship between pre-Hilbert space and a quasi-inner product space with important results and examples. Completeness properties in quasi-inner product space gives us concept of quasi-Hilbert space . We show that , not all quasi-Sobolev spaces , are quasi-Hilbert spaces. The best examples which are quasi-Hilbert spaces and Hilbert spaces are , where m . Finally, propositions, theorems and examples are our own unless otherwise referred.
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