Matrix transformations involving certain Banach space valued sequence spaces

On Matrix Transformations concerning the Nakano Vector-valued Sequence Space

We give the matrix characterizations from Nakano vector-valued sequence space (X,p) and Fr (X,p) into the sequence spaces Er , ∞, ∞(q), bs, and cs, where p = (pk) and q = (qk) are bounded sequences of positive real numbers such that pk > 1 for all k∈N and r ≥ 0. 2000 Mathematics Subject Classification. 46A45.

Matrix Transformations between the Sequence Space Bv P and Certain Bk Spaces

A new sequence space and norm of certain matrix operators on this space

In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...

Some Sequence Spaces and Their Matrix Transformations

The most general linear operator to transform from new sequence space into another sequence space is actually given by an infinite matrix. In the present paper we represent some sequence spaces and give the characterization of (S (p), ) and (S (p), ).

Some Paranormed Sequence Spaces and Matrix Transformations

Let w, γ, γo, c, co and l∞ be the spaces of all, summable, summable to zero, convergent, null and bounded sequences respectively. The notion of statistical convergence of sequences was introduced by Fast [3], Schoenberg [12] and Buck [1] independently. Later on the idea was exploited from sequence space point of view and linked with summability by Fridy [4], S̆alát [11], Kolk [5], Rath and Tripa...