Serkan DEMIRIZ, Celal CAKAN
In this paper,the sequence spaces er0(u,p)and erc(u,p)of non-absolute type which are thegeneralization of the Maddox sequence spaces have been introduced and it is proved that the spaceser0(u,p)and erc(u,p)are linearly isomorphic to spaces c0(p)and c(p),respectively.Furthermore,theα-,β-andγ-duals of the spaces er0(u,p)and erc(u,p)have been computed and their bases have beenconstructed and some topological properties of these spaces have been investigated.Besides this,theclass of matrices(er0(u,p):μ)has been characterized,whereμis one of the sequence spaces∞,c andc0 and derives the other characterizations for the special cases ofμ.In the last section,Euler Core ofa complex-valued sequence has been introduced,and we prove some inclusion theorems related to thisnew type of core.