New Paranormed Sequence Spaces l_∞(p,λ) , c(p,λ) and c₀(p,λ) Generated by an Infinite Matrix

	International Journal of Mathematical Trends and Technology (IJMTT)
	© 2014 by IJMTT Journal
	Volume-6 Number-2
	Year of Publication : 2014
	Authors : Shailendra K. Mishra , Vinod Parajuli , Sergei Silvestrov
	10.14445/22315373/IJMTT-V6P516

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 Mathematical Trends and Technology (IJMTT). V6:176-182 February 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper we introduce a set of new paranormed sequence spaces , and which are generated by an infinite lower uni triangular matrix where is an infinite matrix given by, as defined in [6] . We also compute the basis for the spaces and , obtain β – dual for all these spaces and characterize the matrix classes , and .

References

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[6] B. Choudhary and S.K. Mishra, “On Kothe-Toeplitz duals of certain sequence spaces and their matrix transformations”, Indian J. Pure Appl. Math 24(5), pp. 291-301 , 1993
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Keywords
Paranormed sequence spaces, β – dual, matrix transformation