Some double sequence spaces

-II- SUMMARY Ph.D Thesis SOME DOUBLE SEQUENCE SPACES Ayşegül TÜRKMENO?LU Fırat University Graduate School of Naturel and Applied Sciences Department of Mathematics 1993, Page : 47 In this study, we define double sequence spaces/ <»(p), c2(p), c0(p ), / 2(p) Coo ( p ) and c0 1» ( p ) and also examine some properties of these sequence spaces. In the first chapter we give the fundamental definitions and theorems related to the subject. In the second chapter, we give the relations between the sequence spaces, which are defined in this chapter and the double sequence spaces / «3 > c, c0, c^ and 2 c0,oo. Furthermore we show that these double sequence spaces are complete paranormed spaces, under some certain conditions. In the last chapter we give the a-, f$- and y- duals of these double sequence spaces. KEY WORDS: Double sequence spaces, Paranormed space, Linear metric space, Complete space, a- dual, $- dual and y- dual.