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Certain spaces of sequences of fuzzy numbers defined by a modulus function

Talo O., Basar F.

Demonstratio Mathematica

2010

Vol. 43, nr 1

139-149

The main purpose of the present paper is to introduce the spaces l infinity (F, f), c(F, f), co(F, f) and lp(F, f, s) of sequences of fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems related to these sets are given and shown that l infinity(Ff), co F,f) and Lp(FJ,s) are solid.

On the finite spectra of the difference operator nabla over the sequence space lp, (1

Akhmedov A., Basar F.

Demonstratio Mathematica

2006

Vol. 39, nr 3

585-595

In the present paper, the norm of the bounded linear operator nabla acting on the sequence space Lp has been found and the fine spectrum with respect to Goldberg's classification of the difference operator nabla over the sequence space Lp has been determined, where 1 < p < oo.