Structural approach of infinite matrix using difference operator


Abstract
The major structure of this present article is to establish and analyze the spaces involving the infinite matrices with the operator introduced by Kizmaz. -duals will be constructed. BK spaces will be given its place for synthesis.
References
G. Kothe, Topological Vector Spaces (Springer-Verlag, New York),1969.
M. Mursaleen, Applied Summability Methods, Springer Cham, Heidelberg, 2014.
R. Colac and M. Et, On Koothe duals of generalized difference sequence spaces, Soochow J. Math, 21(4)(1995), 377-386.
H. Kizmaz, On certain sequence spaces, Canad. Math. Bull 24(2)( 1981), 169-176.
A. Robinson, On Functional Transformation and Summability (Proc. Springer Cham
Heidelberg).
A. H. Ganie and N. A. Sheikh, On the sequence space l(p,s) and some matrix transfor-
mations, Nonlinear Functional Analysis and Applications,18(2) (2013), 253-258.
A. H. Ganie, S. A. Lone and A. Akhter, Generalised Cesaro difference sequence space
of non- absolute type, EKSAKTA, 1(2)(2020), 147-153.
A. H. Ganie, Generalized difference sequence spaces, Adv. Stud. Contemp. Math.
(Kyungshang), 30 (2) (2020), 197 – 206.
S. Ray S, Difference sequence spaces and matrix methods, J. Science Engg. & Tech. 10(1) (2014),73-78.
I J Maddox, Infinite matrices of operators, Lecture Notes in Math., Infinite matrices of
operators, Berlin-Heidelberg-New York: Springer-Verlag, 1980.
B C Tripathy, A New type of difference sequence spaces, International Journal of
Science & Technology, 1(1) (2006), 11-14.
T. Šalát, B. C. Tripathy, and M. Ziman, On some properties of I-convergence. Tatra Mt.
Math. Publ., 28(2)(2004), 279-286.
A H Ganie and D Fathima, On some new scenario of Δ-spaces, J. Nonlinear Sci. Appl.,
(2021), 163-167.
D. Fathima, M. m Albaidani, A. H. Ganie and A. Akhter, New structure of Fibonacci
numbers using concept of ∆-operator, Journal of Mathematics and Computer Science,
(2)(2022), 101-112.
A. H. Ganie, A. Mobin N. A. Sheikh and T. Jalal, New type of Riesz sequence space
of non-absolute type, J. Appl. Comput. Math., 5(1)(2016), 1-4.
N. A. Sheikh and A. H. Ganie, A new type of sequence space of non-absolute type and matrix transformation, WSEAS Transaction of Math., 8(12) (2013), 852-859.
N. A. Sheikh, T. Jalal and A. H. Ganie, New type of sequence spaces of non-absolute type and some matrix transformations, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 29(2013), 51-66.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Results in Nonlinear Analysis

This work is licensed under a Creative Commons Attribution 4.0 International License.