Matrix transformations in the sequence spaces L_∞^V(P, S) and C_0^V(P,S)

Tunay Bilgin

Published: 2003-01-30

Vol. 16 (2002)

Matrix transformations in the sequence spaces L_∞^V(P, S) and C_0^V(P,S)

Tunay Bilgin

Abstract

The object of this paper is to obtain necessary and sufficient conditions to characterize the matrices in classes (l_∞^y(p,s), l_∞(q)), (c₀^y(p,s), l_∞(q)), (l_∞^y(p,s), c₀(q)), and (c₀^y(p,s), c₀(q)) which will fill up a gap in the existing literature.

Keywords:

generalized analytic sequence space , matrix-transformations.

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Bilgin, T. (2003). Matrix transformations in the sequence spaces L_∞^V(P, S) and C_0^V(P,S). Annales Mathematicae Silesianae, 16, 7–16. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14103

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References

1. M. Başarir, On some new sequence spaces and related matrix transformations, Indian J. Pure Appl. Math. 26, 10 (1995), 1003-1010.
2. T. Bilgin, Dual Spaces of Certain sequence spaces, Y.Y.U Journ. of Faculty of Education 1, 2 (1996), 81-88.
3. T. Bilgin, Matrix transformations in the sequence space c_o(p,s) and l_?(p,s), Analele Universitatii din Timisoara, Vol. 36 (1998), 3-12.
4. T. Bilgin, Matrix transformations of some generalized analytic sequence spaces, Math. Comput. Appl. 7, 2 (2002), 165-170.
5. R. Colak, P.D. Srivastava, S. Nanda, On certain sequence spaces and their Köthe-Toeplitz duals, Rendiconti di Matematica, Serie VII, 13 (1993), 27-39.
6. C.G. Lascarides, A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer, Pacific J. Math. 38, 2 (1971).
7. C.G. Lascarides, I.I. Maddox, Matrix transformations between some classes of sequence spaces, Proc. Camb. Phil. Soc. 68 (1970), 99-104.
8. I.J. Maddox, Spaces of strongly summable sequences, Quaterly J. Math. Oxford (2) 18 (1967), 345-355.
9. I.J. Maddox, Operators on the generalized entire sequences, Proc. Cam. Phil. Soc. 71 (1972), 491-494.
10. J.W. Roles, ph. D. Thesis, University of Lancaster, 1970.
11. S. Simons, The sequence spaces l(p_v) and m(p_v), Proc. London Math. Soc. (3) 15 (1965), 422-436.
12. S.M. Sirajudeen, Inclusion theorem of matrix transformation of some generalized sequence spaces, Soochow J. Math. 7 (1981), 165-174.
13. M.A.I. Willey, On sequence of bounded linear functional with application to matrix transformations, J. Lond. Math. Soc. 7 (2) (1973), 19-30. Google Scholar

Vol. 16 (2002)
Published: 2003-01-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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