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In this paper, we apply the results stated in [19] to the solvability of the sequence spaces equations (SSE) ?+Fx = Fb, where ?,F are linear spaces of sequences and… Click to show full abstract
In this paper, we apply the results stated in [19] to the solvability of the sequence spaces equations (SSE) ?+Fx = Fb, where ?,F are linear spaces of sequences and b; x are positive sequences (x is the unknown). In this way, we solve the (SSE) of the form (Ea)G(?,?) + Fx = Fb, where G (?,?) is a factorable triangle matrix defined by [G(?,?)]nk = ?n?k for k ? n and (E,F) ? {(??,c), (c0,??),(c0,c), (?p,c), (?p,??), (w0,??} with p ? 1. Then we deal with some (SSE) involving the matrices C(??), C1 and N?q. Finally, we solve the (SSE) with operator of the form (Ea)?2 + Fx = Fb.
Journal Title: Filomat
Year Published: 2019
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