β-Dual of Vector-Valued Double Sequence Spaces of Maddox

Author(s):  
Naveen Kumar Srivastava ◽  

2007 ◽  
Vol 57 (2) ◽  
Author(s):  
Binod Tripathy ◽  
Bipul Sarma

AbstractIn this article we introduce the vector valued paranormed sequence spaces $${}_2\overline c (q,p), {}_2\overline c _0 (q,p), ({}_2\overline c )^B (q,p), ({}_2\overline c _0 )^B (q,p), ({}_2\overline c )^R (q,p)$$ and $$({}_2\overline c _0 )^R (q,p)$$ defined over a seminormed space (X,q). We study their different properties like completeness, solidness, symmetry, convergence freeness etc. We prove some inclusion results.



2009 ◽  
Vol 59 (6) ◽  
Author(s):  
Binod Tripathy ◽  
Bipul Sarma

AbstractIn this article we introduce some vector valued double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.





2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Vakeel A. Khan ◽  
Mobeen Ahmad ◽  
Hira Fatima ◽  
Mohd Faisal Khan


Author(s):  
Ahmadu Kiltho ◽  

The purpose of this paper is to discover and examine a four-dimensional Pascal matrix domain on Pascal sequence spaces. We show that they are spaces and also establish their Schauder basis, topological properties, isomorphism and some inclusions.



2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Orhan Tug

We firstly summarize the related literature about Br,s,t,u-summability of double sequence spaces and almost Br,s,t,u-summable double sequence spaces. Then we characterize some new matrix classes of Ls′:Cf, BLs′:Cf, and Ls′:BCf of four-dimensional matrices in both cases of 0<s′≤1 and 1<s′<∞, and we complete this work with some significant results.



2011 ◽  
Vol 61 (3) ◽  
pp. 809-825 ◽  
Author(s):  
Pratulananda Das ◽  
Ekrem Savas ◽  
Santanu Bhunia


Analysis ◽  
2017 ◽  
Vol 37 (3) ◽  
Author(s):  
Vakeel A. Khan ◽  
Hira Fatima ◽  
Sameera A. A. Abdullah ◽  
Kamal M. A. S. Alshlool

AbstractThe space



2012 ◽  
Vol 33 (2) ◽  
pp. 183-190 ◽  
Author(s):  
Kuldip Raj ◽  
Ajay K. Sharma ◽  
Sunil K. Sharma ◽  
Sulinder Singh


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