Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/131868 |
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| _version_ | 1832565534997086208 |
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| author | M. Mursaleen V. Karakaya S. A. Mohiuddine |
| author_facet | M. Mursaleen V. Karakaya S. A. Mohiuddine |
| author_sort | M. Mursaleen |
| collection | DOAJ |
| description | We define and study the concepts of Schauder basis, separability, and
approximation property in intuitionistic fuzzy normed spaces and establish some results related to
these concepts. We also display here some interesting examples by using classical sequence spaces
ℓ𝑝(1≤𝑝≤∞). |
| format | Article |
| id | doaj-art-ce9082fc444549cebf0955cecfb51536 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ce9082fc444549cebf0955cecfb515362025-02-03T01:07:31ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/131868131868Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed SpaceM. Mursaleen0V. Karakaya1S. A. Mohiuddine2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul 34220, TurkeyDepartment of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi ArabiaWe define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).http://dx.doi.org/10.1155/2010/131868 |
| spellingShingle | M. Mursaleen V. Karakaya S. A. Mohiuddine Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space Abstract and Applied Analysis |
| title | Schauder Basis, Separability, and Approximation Property
in Intuitionistic Fuzzy Normed Space |
| title_full | Schauder Basis, Separability, and Approximation Property
in Intuitionistic Fuzzy Normed Space |
| title_fullStr | Schauder Basis, Separability, and Approximation Property
in Intuitionistic Fuzzy Normed Space |
| title_full_unstemmed | Schauder Basis, Separability, and Approximation Property
in Intuitionistic Fuzzy Normed Space |
| title_short | Schauder Basis, Separability, and Approximation Property
in Intuitionistic Fuzzy Normed Space |
| title_sort | schauder basis separability and approximation property in intuitionistic fuzzy normed space |
| url | http://dx.doi.org/10.1155/2010/131868 |
| work_keys_str_mv | AT mmursaleen schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace AT vkarakaya schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace AT samohiuddine schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace |