Dual Spaces of Generalized Cesaro Sequence Space and Related Matrix Mapping

نویسندگان

  • Md. Fazlur Rahman
  • M Rezaul Karim
چکیده

ABTRACT: In this paper we define the generalized Cesaro sequence spaces ces(p, q, s). We prove the space ces(p, q, s) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual. In section-3 we establish necessary and sufficient conditions for a matrix A to map ces p, q, s to l∞ and ces(p, q, s) to c, where l∞ is the space of all bounded sequences and c is the space of all convergent sequences. We also get some known and unknown results as remarks.

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تاریخ انتشار 2016