On some new difference sequence spaces of non-absolute type
نویسندگان
چکیده
منابع مشابه
On some new sequence spaces of non - absolute type related to the spaces ` p and ` ∞ II
In the present paper, which is a natural continuation of the work done in [13], we determine the α-, βand γ-duals of the sequence spaces `p and ` λ ∞ of non-absolute type, where 1 ≤ p < ∞. Further, we characterize some related matrix classes and deduce the characterizations of some other classes by means of a given basic lemma. AMS subject classifications: 40C05, 40H05, 46A45
متن کاملON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE RELATED TO THE SPACES `p AND `∞ I
In the present paper, we introduce the sequence space `p of non-absolute type and prove that the spaces `p and `p are linearly isomorphic for 0 < p ≤ ∞. Further, we show that `p is a p-normed space and a BK-space in the cases of 0 < p < 1 and 1 ≤ p ≤ ∞, respectively. Furthermore, we derive some inclusion relations concerning the space `p . Finally, we construct the basis for the space `p , wher...
متن کاملOn Some Difference Sequence Spaces
In this article we define some difference sequence spaces using a new difference operator. We show that these spaces can be made BK-spaces under a suitable norm. We also find their isometrically isomorphic spaces and thus we find the dual of some of the spaces. Furthermore we study the spaces for separable space, reflexive space, Hilbert space and investigate for solid space, symmetric space, m...
متن کاملOn paranormed λ-sequence spaces of non-absolute type
In this work, we introduce some new generalized sequence spaces related to the spaces l∞(p), c(p) and c0(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the α-, βand γ -duals of these spaces, and characterize certain matrix transformations on t...
متن کاملOn Some New Difference Sequence Spaces of Fractional Order
Let ∆(α) denote the fractional difference operator. In this paper, we define new difference sequence spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u). Also, the β−dual of the spaces c0(Γ, ∆(α), u) and c(Γ, ∆(α), u) are determined and calculated their Schauder basis. Furthermore, we characterize the classes (μ(Γ, ∆(α), u) : λ) for μ ∈ {c0, c} and λ ∈ {c0, c, l ∞, l1} .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2010
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2010.04.006