The fuzzy basis of the sequence space lp (F)

• Autorzy: Şengönül M.
• Języki publikacji: EN

Abstrakty

EN

Nanda [6] introduced and discussed lp(F) space of sequences of fuzzy numbers, and various authors studied many different properties of the space lp(F). In the sequel of these studies, we have shown in this paper that the set (Ek) = (E0;E1;E2, …;Ek; …) is Schauder basis for lp(F) and dual space of the lp(F) is lq(F), where (...).

Słowa kluczowe

EN

basis; fuzzy numbers; fuzzy basis; dual space

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 1
• Strony: 99--104
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Şengönül M.

• Dept. of Mathematics Faculty of Science Nevşehir University 50300-Nevşehir/Türkiye

Bibliografia

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• [2] C. Felbin, Finite dimensional fuzzy normed space, Fuzzy Sets and Systems 48 (1992), 239-248.
• [3] O. Kaleva, S. Seikkala, On fuzzy metric space, Fuzzy Sets and Systems 12 (1984), 215-229.
• [4] I. J. Maddox, Elements of Functional Analysýs, Cambridge University Press, Cambridge, (1988).
• [5] M. Matloka, Sequence of fuzzy numbers, BUSEFAL 28 (1986), 28-37.
• [6] S. Nanda, On sequence of fuzzy numbers, Fuzzy Sets and Systems 33 (1989), 123-126.