Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space

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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Veröffentlicht in:Abstract and Applied Analysis 2010-01, Vol.2010 (2010), p.178-191
Hauptverfasser: Mursaleen, M., Karakaya, V., Mohiuddine, S. A.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Fuzzy sets
Norms
Studies
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Beschreibung
Zusammenfassung: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≤∞).
ISSN:1085-3375
1687-0409
DOI:10.1155/2010/131868