On the generalizations and properties of solid sequence spaces derived from cesaro type matrices

In this thesis, a research on some remarkable pullback solid sequence spaces, denoted by sld-A^(-1) (E), derived from infinite matrices is given. Let E be a set of complex or real sequences and A an infinite matrix with non-negative entries. By definition, x∈A^(-1) (E) if and only if the sequence x falls in the domain of A and Ax∈ E. Similarly, we define , x∈sld-A^(-1) (E) if and only if the sequence |x| falls in the domain of A and A|x|∈ E. Thus, if E=l_p (1