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 |
| _version_ | 1818269437135945728 |
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| author | Jawad Kadhim Khalaf Al-Delfi |
| author_facet | Jawad Kadhim Khalaf Al-Delfi |
| author_sort | Jawad Kadhim Khalaf Al-Delfi |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-12-12T20:54:22Z |
| format | Article |
| id | doaj.art-8830cc5c10e544079b0392ef365e7b26 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T20:54:22Z |
| publishDate | 2018-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-8830cc5c10e544079b0392ef365e7b262022-12-22T00:12:19ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072018-04-012017IHSCICONF10.30526/2017.IHSCICONF.1806Quasi-inner product spaces of quasi-Sobolev spaces and their completenessJawad Kadhim Khalaf Al-Delfi 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. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1806quasi-Sobolev space, quasi-Banach space, Ga Ì‚teaux derivative , quasi-inner product space, quasi-Hilbert space. smooth quasi-Hilbert space. |
| spellingShingle | Jawad Kadhim Khalaf Al-Delfi Quasi-inner product spaces of quasi-Sobolev spaces and their completeness Ibn Al-Haitham Journal for Pure and Applied Sciences quasi-Sobolev space, quasi-Banach space, Ga Ì‚teaux derivative , quasi-inner product space, quasi-Hilbert space. smooth quasi-Hilbert space. |
| title | Quasi-inner product spaces of quasi-Sobolev spaces and their completeness |
| title_full | Quasi-inner product spaces of quasi-Sobolev spaces and their completeness |
| title_fullStr | Quasi-inner product spaces of quasi-Sobolev spaces and their completeness |
| title_full_unstemmed | Quasi-inner product spaces of quasi-Sobolev spaces and their completeness |
| title_short | Quasi-inner product spaces of quasi-Sobolev spaces and their completeness |
| title_sort | quasi inner product spaces of quasi sobolev spaces and their completeness |
| topic | quasi-Sobolev space, quasi-Banach space, Ga Ì‚teaux derivative , quasi-inner product space, quasi-Hilbert space. smooth quasi-Hilbert space. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1806 |
| work_keys_str_mv | AT jawadkadhimkhalafaldelfi quasiinnerproductspacesofquasisobolevspacesandtheircompleteness |