The purpose of this paper is to give the properties of some distinguished F K spaces and to solve the problem of characterizing matrices A such that YA is Cesaro semiconservative space (for a given Y).
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We introduced and investigated the sequence space lambda (Xk,r,f,s) defined by a modulus function f, and constructed its FK-structure under some conditions. Also we exposed some inclusion relations among the variations of the space.
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