New Inner Product Quasilinear Spaces on Interval Numbers
Primarily we examine the new example of quasilinear spaces, namely, “IRn interval space.” We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some r...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2619271 |
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| _version_ | 1832552352398180352 |
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| author | Hacer Bozkurt Yılmaz Yilmaz |
| author_facet | Hacer Bozkurt Yılmaz Yilmaz |
| author_sort | Hacer Bozkurt |
| collection | DOAJ |
| description | Primarily we examine the new example of quasilinear spaces, namely, “IRn interval space.” We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some results on IRn interval space related to these concepts. Secondly, we present Is,Ic0,Il∞, and Il2 quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis. |
| format | Article |
| id | doaj-art-4ba86d16c1664ee0a25ac428aa53e962 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4ba86d16c1664ee0a25ac428aa53e9622025-02-03T05:58:48ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/26192712619271New Inner Product Quasilinear Spaces on Interval NumbersHacer Bozkurt0Yılmaz Yilmaz1Department of Mathematics, Batman University, 72100 Batman, TurkeyDepartment of Mathematics, İnönü University, 44280 Malatya, TurkeyPrimarily we examine the new example of quasilinear spaces, namely, “IRn interval space.” We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some results on IRn interval space related to these concepts. Secondly, we present Is,Ic0,Il∞, and Il2 quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis.http://dx.doi.org/10.1155/2016/2619271 |
| spellingShingle | Hacer Bozkurt Yılmaz Yilmaz New Inner Product Quasilinear Spaces on Interval Numbers Journal of Function Spaces |
| title | New Inner Product Quasilinear Spaces on Interval Numbers |
| title_full | New Inner Product Quasilinear Spaces on Interval Numbers |
| title_fullStr | New Inner Product Quasilinear Spaces on Interval Numbers |
| title_full_unstemmed | New Inner Product Quasilinear Spaces on Interval Numbers |
| title_short | New Inner Product Quasilinear Spaces on Interval Numbers |
| title_sort | new inner product quasilinear spaces on interval numbers |
| url | http://dx.doi.org/10.1155/2016/2619271 |
| work_keys_str_mv | AT hacerbozkurt newinnerproductquasilinearspacesonintervalnumbers AT yılmazyilmaz newinnerproductquasilinearspacesonintervalnumbers |