On some classes of difference double sequence spaces

• Autorzy: Tripathy B.C.
• Języki publikacji: EN

Abstrakty

EN

In this article we introduce the difference double sequence spaces &some;defined over a seminormed space (X,q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonoc-ity, convergence free, nowhere densenes etc. We prove some inclusion results too.

Słowa kluczowe

EN

difference sequence; completeness; solid space; symetric space; convergence-free

PL

różnica sekwencji; kompletność; stałe miejsce; przestrzeń symetryczna; darmowa zbieżność

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 41
• Strony: 135--142
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Tripathy B.C.

• Mathematical Sciences Division, Institute of Advanced Study in Science and Technology Paschim Boragaon, Garchuk, India,

Bibliografia

• [1] Basarir M., Solancan O., On Some Double Sequence Spaces, J. Indian Acad. Math., 21(2)(1999), 193-200.
• [2] Bromwich T.J., I A, An introduction to the theory of infinite series, MacMillan and Co. Ltd., New York, 1965.
• [3] Hardy G.H., On the convergence of certain multiple series, Proc. Camb. Phil. Soc., 19(1917), 86-95.
• [4] Kamthan P.K., Gupta M., On entire functions of fast growth, Marcel Dekker,, 1980.
• [5] Kizmaz H., On certain sequence spaces, Canad. Math. Bull., 24(1981), 169-176.
• [6] Moricz F., Extension of the spaces c and co from single to double sequences, Acta Math. Hungerica, 57(1-2) (1991), 129-136.
• [7] Moricz F., Rhoades B.E., Almost convergence of double sequences and strong regularity of summability matrices, Math. Proc. Camb. Phil. Soc., 104(1988), 283-294.
• [8] Patterson R.F., Analogues of some fundamental theorems of summability theory, Internat. J. Math. & Math. Sci., 23(1)(2000), 1-9.
• [9] Tripathy B.C., Statistically convergent double sequences, Tamkang J. Math., 34(3) (2003), 231-237.
• [10] Tripathy B.C., A class of difference sequences related to the p-normed space lp, Demonstrate Math., 36(4)(2003), 867-872.
• [11] Tripathy B.C., Sarma B., Statistically convergent double sequence spaces defined by Orlicz function, Soochow Journal of Mathematics, 32(2) (2006), 211-221.
• [12] Turkmenoglu A., Matrix transformation between some classes of double sequences, Jour. Inst, of Math. & Comp. Sci., Math. Ser., 12(1) (1999), 23-31.