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In this article we introduce the notion of η-dual of double sequence spaces. We find the η-dual of some double sequence spaces. We verify the perfectness of different double sequence spaces relative to η-dual.
Czasopismo
Rocznik
Tom
Strony
119--125
Opis fizyczny
Bibliogr. 16 poz.
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autor
autor
- Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati-781 035, India, tripathybc@yahoo.com
Bibliografia
- [1]BASARIR M., SOLANCAN O., On some double sequence spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
- [2]BROWMICH T. J. I A., An Introduction to the Theory of Infinite Series, Macmillan & Co. Ltd., New York 1965.
- [3]CHANDRA P., TRIPATHY B. C., On Generalized Köthe-Toeplitz Duals of some sequence spaces, Indian J. of Pure and Appl. Math., 33(8)(2002), 1301-1306.
- [4]COOK R.G., Infinite Matrices and Sequence Spaces, Dover Publ., 1955.
- [5]HARDY G.H., On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19(1917), 86-95.
- [6]KAMTHAN P.K., GUPTA M., Sequence Spaces and Series, Marcel Dekker, New York 1981.
- [7]KÖTHE G., Topological Vector Spaces I, Springer Verlag, 1969.
- [8]KÖTHE G., TOEPLITZ O., Lineare Räume mit unendlichvielen Koordinaten and Ringe unenlicher Matrizen, J.F. Reine U. Angew Math., 171(1934), 193-226.
- [9]LASCARIDES C.G., A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer, Pac. Jour. Math., 38(2)(1971), 487-500.
- [10]MADDOX I.J., Continuous and Köthe-Toeplitz duals of certain sequence spaces, Proc. Camb. Phil. Soc., 65(1969), 431-435.
- [11]MADDOX I. J., Infinite Matrices of Operators, Lecture Notes in Mathematics, Springer-Verlag 1980.
- [12]MORICZ F., Extentions of the spaces c and CO from single to double sequences, Acta Math. Hung., 57(1-2)(1991), 129-136.
- [13]OKUTOYI J.I., A note on generalized Köthe-Toeplitz duals, Acta Math. Hungerica,3-4(1992), 291-299.
- [14]PATTERSON R.F., Analogue of some fundamental theorems of summability theory, Internat. J. Math. Math. Sei., 23(1)(2000), 1-9.
- [15]TRIPATHY B.C., On statistically convergent double sequences, Tamkang J.Math., 34(3)(2003), 231-237.
- [16]TRIPATHY B.C., CHOUDHARY B., SARMA B., Some difference double sequence spaces defined by Orlicz function, Kyungpook Mathematical Journal,48(4)(2008)(m press).
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Bibliografia
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bwmeta1.element.baztech-article-BPP1-0091-0105