Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences

Abstract EN

The aim of the present paper is to introduce the spaces c0λ(B) and cλ(B) of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010).

These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces c0 and c, respectively.

Furthermore, we derive some inclusion relations determine the α-, β-, and γ-duals of those spaces, and construct their Schauder bases.

Finally, we characterize some matrix classes from the spaces c0λ(B), and cλ(B) to the spaces ℓp, c0, and c.