Block sequence space of non-absolute type

In the study consisting of four parts, the concept of block array space defined in 2015 was examined. In the first chapter, a summary of the literature is given. In the second part, some basic definitons, theorems and inequalities are given. In the third chapter, the definition of X(E) block array spaces including X∈{c,c0,l∞} is given and some algebraic and topological properties of these array spaces are examined. In this section, characterization of some matrix classes are made on X(E) array spaces. Finally, 1≤P<∞ ,lp(E) block array space is examined.