On Some New Paranormed Euler Sequence Spaces and Euler Core

<正> In this paper, the sequence spaces e_or（u,p） and ecr（u,p） of non-absolute type which are thegeneralization of the Maddox sequence spaces have been introduced and it is proved that the spacese_or（u,p） and ecr（u,p） are linearly isomorphic to spaces c_o（p） and c（p）, respectively. Furthermore, theα-, β- and γ-duals of the spaces e_or（u, p） and ecr（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 (e_or（u, p） :μ) has been characterized, where μ is one of the sequence spaces l∞, c andc_o and derives the other characterizations for the special cases of μ. 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.