International Journal of Mathematics Trends and Technology
Volume 6 | Number 2 | Year 2014 | Article Id. IJMTT-V6P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V6P516
In this paper we introduce a set of new paranormed sequence spaces l p ( , ) , c p( , ) and 0 c p( , ) which are generated by an infinite lower uni triangular matrix n S where ( ) nk S s is an infinite matrix given by, 1; 0 ( ) 0; nk k n S s k n as defined in [6] . We also compute the basis for the spaces c p( , ) and 0 c p( , ) , obtain β – dual for all these spaces and characterize the matrix classes l p l ( , ), ,l p c ( , ), and l p c ( , ), 0 .
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Shailendra K. Mishra , Vinod Parajuli , Sergei Silvestrov, "New Paranormed Sequence Spaces l∞(p,λ) , c(p,λ) and c0(p,λ) Generated by an Infinite Matrix," International Journal of Mathematics Trends and Technology (IJMTT), vol. 6, no. 2, pp. 176-182, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V6P516
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