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On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences

2013; Hindawi Publishing Corporation; Volume: 2013; Linguagem: Inglês

10.1155/2013/476363

1687-0409

Naim L. Braha, Feyzı Başar,

Fuzzy and Soft Set Theory

We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.