Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. 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 ...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2018-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1806 |
| Summary: | Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. 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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| ISSN: | 1609-4042 2521-3407 |