Isomorphic sequence spaces and infinite matrices

In this study, we define the sequence space ap and also examine some properties of this sequence space. In the first chapter, the fundamental definitions and theorems were given which are needed in the next chapters. In the second chapter, we give the definition of isomorphic spaces and deter mine the /?-duals of some such spaces. In the third chapter, we introduce the sequence space ap and show that this se quence space is a Banach space. We also give the Schauder basis, inclusion theorems and the a-, /3- and 7-duals of this sequence space. In the last chapter, we defined the dual methods of the new type and charac terize the matrix classes (ap : ix), (ap : c), (ap : bs), (ap : Co), (ap : cs), (ap : e^), K : r-)> K : r')> K : MA)) and (a; : c(A)). KEYWORDS: Sequence spaces, isomorphism, dual spaces, matrix transformations