Difference sequence spaces

II SUMMARY Ms.D. Thesis DIFFERENCE SEQUENCE SPACES Mehmet Emin ÖZTÜRK Fırat Universty Graduate School of Natural and Applied Sciences Department of Mathematics 2002, Page : 43 In this study, which is prepared as three chapter, we investigate generalized difference sequence spaces which where defined by Et and Çolak. In the first chapter we give the fundamental definitions and theorems. In the second chapter we study the sequence spaces /" (Am J, c[Am J, c0 [Am) and we show that these sequence spaces are Banach spaces and give the continuous duals of the sequence spaces. We also give the a-, ft - and y - duals of these sequence spaces. In the last chapter, we give the matrix classes (/c0,/0O(Am)), {la>,c\Am)j, \c,l00\Am)), MA"))-.Mit * ^ Oj..» KEYWORDS: Difference sequence spaces, a-, j3- and y- duals, matrix transformations. - < - 1 * \ V»l ?«a. <, - t:* -. >