Neutrosophic Real Inner Product Spaces
The objective of this work is to define for the first time the concept of inner product in a neutrosophic vector space and a refined neutrosophic vector space. Also, this paper introduces many interesting properties of neutrosophic real inner products and establishes the theoretical foundations of n...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicRealInnerProductSpaces17.pdf |
| _version_ | 1798031226015055872 |
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| author | Mohammad Abobala |
| author_facet | Mohammad Abobala |
| author_sort | Mohammad Abobala |
| collection | DOAJ |
| description | The objective of this work is to define for the first time the concept of inner product in a neutrosophic vector space and a refined neutrosophic vector space. Also, this paper introduces many interesting properties of neutrosophic real inner products and establishes the theoretical foundations of neutrosophic functional analysis such as neutrosophic normed spaces, refined neutrosophic normed spaces, neutrosophic real inner product spaces, refined neutrosophic inner product spaces, orthogonal basis, neutrosophic and refined neutrosophic Cauchy- Schwartz inequality. |
| first_indexed | 2024-04-11T19:54:01Z |
| format | Article |
| id | doaj.art-b2475bd987fb4f9d8fe7f58d02a172f7 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T19:54:01Z |
| publishDate | 2021-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-b2475bd987fb4f9d8fe7f58d02a172f72022-12-22T04:06:13ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-06-014322524610.5281/zenodo.4914853Neutrosophic Real Inner Product SpacesMohammad Abobala The objective of this work is to define for the first time the concept of inner product in a neutrosophic vector space and a refined neutrosophic vector space. Also, this paper introduces many interesting properties of neutrosophic real inner products and establishes the theoretical foundations of neutrosophic functional analysis such as neutrosophic normed spaces, refined neutrosophic normed spaces, neutrosophic real inner product spaces, refined neutrosophic inner product spaces, orthogonal basis, neutrosophic and refined neutrosophic Cauchy- Schwartz inequality. http://fs.unm.edu/NSS/NeutrosophicRealInnerProductSpaces17.pdfneutrosophic inner productrefined neutrosophic inner productneutrosophic normed spaceneutrosophic orthogonal basisneutrosophic functional analysis |
| spellingShingle | Mohammad Abobala Neutrosophic Real Inner Product Spaces Neutrosophic Sets and Systems neutrosophic inner product refined neutrosophic inner product neutrosophic normed space neutrosophic orthogonal basis neutrosophic functional analysis |
| title | Neutrosophic Real Inner Product Spaces |
| title_full | Neutrosophic Real Inner Product Spaces |
| title_fullStr | Neutrosophic Real Inner Product Spaces |
| title_full_unstemmed | Neutrosophic Real Inner Product Spaces |
| title_short | Neutrosophic Real Inner Product Spaces |
| title_sort | neutrosophic real inner product spaces |
| topic | neutrosophic inner product refined neutrosophic inner product neutrosophic normed space neutrosophic orthogonal basis neutrosophic functional analysis |
| url | http://fs.unm.edu/NSS/NeutrosophicRealInnerProductSpaces17.pdf |
| work_keys_str_mv | AT mohammadabobala neutrosophicrealinnerproductspaces |