On a class of difference sequences related to the p-normed space lp

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

Abstrakty

EN

In this article we introduce the difference sequence space m (Δ,φ,p), 0 < p < 1, which is related to the p-normed space lp(Δ) (i.e. bvp). We study its different properties like solidity, symmetricity, completeness etc. We prove some inclusion results and verify its relations with the other sequence spaces.

Słowa kluczowe

EN

symmetric space; p-norm; difference sequence space; k-space

PL

przestrzeń symetryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 867--872
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Tripathy B. Ch.

• Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Khanapara, Guwahati - 781022, India

Bibliografia

• [1] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24 (2) (1981), 167-176.
• [2] D. Rath, Spaces of r-convex sequences and matrix transformations, Indian J. Math. 41 (2) (1999), 265-280.
• [3] D. Rath, B. C. Tripathy, Characterization of certain matrix operators, J. Orissa Math. Soc. 8 (1989), 121-134.
• [4] W. L. C. Sargent, Some sequence spaces related to the lp spaces, J. London Math. Soc. 35 (1960), 161-171.
• [5] B. C. Tripathy, Matrix maps on the power series convergent on the unit disc, J. Analysis 6 (1998), 27-31.
• [6] B. C. Tripathy, M. Sen, On a new class of sequences related to the space lp, Tamkang J. Math. 33(2) (2002), 167-171.
• [7] B. C. Tripathy, M. Sen, On a class of sequences related to the p-normed space lp, (Under Communication).