Pure and Applied Mathematics Journal
Volume 4, Issue 3, June 2015, Pages: 90-95
Received: Apr. 20, 2015;
Accepted: May 4, 2015;
Published: May 15, 2015
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Md. Fazlur Rahman, Department of Mathematics, Eden University College, Dhaka, Bangladesh
A. B. M. Rezaul Karim, Department of Mathematics, Eden University College, Dhaka, Bangladesh
Recently several authors defined and studied Riesz sequence space r^q(u, p) of non-absolute type. In this paper for some weight s ≥ 0, we define the generalized Risez sequence space r^q(u, p, s) of non-absolute type and determine its Kothe-Toeplitz dual. We also consider the matrix mapping r^q(u, p, s) to l_∞ and r^q(u, p, s) to c, where l_∞ is the space of all bounded sequences and c is the space of all convergent sequences.
Md. Fazlur Rahman,
A. B. M. Rezaul Karim,
Generalized Riesz Sequence Space of Non-Absolute Type and Some Matrix Mapping, Pure and Applied Mathematics Journal.
Vol. 4, No. 3,
2015, pp. 90-95.
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